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Finding the Fourth Proportional to 614,463,893,999.80, 920,456,095,434.90 and 614,463,893,999.80

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Solution

The fourth proportional to 614,463,893,999.80, 920,456,095,434.90 and 614,463,893,999.80 is: 920,456,095,434.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,463,893,999.80 : 920,456,095,434.90 = 614,463,893,999.80 : x
  2. Step 2: Convert to fraction form
    614,463,893,999.80/920,456,095,434.90 = 614,463,893,999.80/x
  3. Step 3: Cross multiply
    614,463,893,999.80x = 920,456,095,434.90 × 614,463,893,999.80
  4. Step 4: Simplify right side
    614,463,893,999.80x = 565,587,036,656,780,269,584,384
  5. Step 5: Solve for x
    x = 565,587,036,656,780,269,584,384/614,463,893,999.80
  6. Step 6: Final answer
    x = 920,456,095,434.90

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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.