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Finding the Fourth Proportional to 542,593,999.40, 813,890,999.10 and 521,430,837.80

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Solution

The fourth proportional to 542,593,999.40, 813,890,999.10 and 521,430,837.80 is: 782,146,256.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,593,999.40 : 813,890,999.10 = 521,430,837.80 : x
  2. Step 2: Convert to fraction form
    542,593,999.40/813,890,999.10 = 521,430,837.80/x
  3. Step 3: Cross multiply
    542,593,999.40x = 813,890,999.10 × 521,430,837.80
  4. Step 4: Simplify right side
    542,593,999.40x = 424,387,865,538,592,064
  5. Step 5: Solve for x
    x = 424,387,865,538,592,064/542,593,999.40
  6. Step 6: Final answer
    x = 782,146,256.70

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