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Finding the Fourth Proportional to 497,472,722.92, 686,513,273.70 and 277,470,329.32

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Solution

The fourth proportional to 497,472,722.92, 686,513,273.70 and 277,470,329.32 is: 382,909,565.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,472,722.92 : 686,513,273.70 = 277,470,329.32 : x
  2. Step 2: Convert to fraction form
    497,472,722.92/686,513,273.70 = 277,470,329.32/x
  3. Step 3: Cross multiply
    497,472,722.92x = 686,513,273.70 × 277,470,329.32
  4. Step 4: Simplify right side
    497,472,722.92x = 190,487,064,136,090,304
  5. Step 5: Solve for x
    x = 190,487,064,136,090,304/497,472,722.92
  6. Step 6: Final answer
    x = 382,909,565.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.