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Finding the Fourth Proportional to 273,095,063,998.80, 409,091,597,969.40 and 273,095,063,998.80

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Solution

The fourth proportional to 273,095,063,998.80, 409,091,597,969.40 and 273,095,063,998.80 is: 409,091,597,969.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,095,063,998.80 : 409,091,597,969.40 = 273,095,063,998.80 : x
  2. Step 2: Convert to fraction form
    273,095,063,998.80/409,091,597,969.40 = 273,095,063,998.80/x
  3. Step 3: Cross multiply
    273,095,063,998.80x = 409,091,597,969.40 × 273,095,063,998.80
  4. Step 4: Simplify right side
    273,095,063,998.80x = 111,720,896,128,824,652,070,912
  5. Step 5: Solve for x
    x = 111,720,896,128,824,652,070,912/273,095,063,998.80
  6. Step 6: Final answer
    x = 409,091,597,969.40

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.