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Finding the Fourth Proportional to 539,283,245.67, 744,724,862.51 and 509,903,438.31

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Solution

The fourth proportional to 539,283,245.67, 744,724,862.51 and 509,903,438.31 is: 704,152,726.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,283,245.67 : 744,724,862.51 = 509,903,438.31 : x
  2. Step 2: Convert to fraction form
    539,283,245.67/744,724,862.51 = 509,903,438.31/x
  3. Step 3: Cross multiply
    539,283,245.67x = 744,724,862.51 × 509,903,438.31
  4. Step 4: Simplify right side
    539,283,245.67x = 379,737,767,986,241,472
  5. Step 5: Solve for x
    x = 379,737,767,986,241,472/539,283,245.67
  6. Step 6: Final answer
    x = 704,152,726.86

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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.