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Finding the Fourth Proportional to 731,008,973.70, 1,096,513,460.55 and 731,008,973.70

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Solution

The fourth proportional to 731,008,973.70, 1,096,513,460.55 and 731,008,973.70 is: 1,096,513,460.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,008,973.70 : 1,096,513,460.55 = 731,008,973.70 : x
  2. Step 2: Convert to fraction form
    731,008,973.70/1,096,513,460.55 = 731,008,973.70/x
  3. Step 3: Cross multiply
    731,008,973.70x = 1,096,513,460.55 × 731,008,973.70
  4. Step 4: Simplify right side
    731,008,973.70x = 801,561,179,444,891,008
  5. Step 5: Solve for x
    x = 801,561,179,444,891,008/731,008,973.70
  6. Step 6: Final answer
    x = 1,096,513,460.55

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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.