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Finding the Fourth Proportional to 711,264,494.80, 997,920,201.20 and 711,264,494.80

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Solution

The fourth proportional to 711,264,494.80, 997,920,201.20 and 711,264,494.80 is: 997,920,201.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,264,494.80 : 997,920,201.20 = 711,264,494.80 : x
  2. Step 2: Convert to fraction form
    711,264,494.80/997,920,201.20 = 711,264,494.80/x
  3. Step 3: Cross multiply
    711,264,494.80x = 997,920,201.20 × 711,264,494.80
  4. Step 4: Simplify right side
    711,264,494.80x = 709,785,207,757,232,384
  5. Step 5: Solve for x
    x = 709,785,207,757,232,384/711,264,494.80
  6. Step 6: Final answer
    x = 997,920,201.20

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.