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Finding the Fourth Proportional to 465,658,802.10, 698,369,061.87 and 138,057,710.58

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Solution

The fourth proportional to 465,658,802.10, 698,369,061.87 and 138,057,710.58 is: 207,051,243.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,658,802.10 : 698,369,061.87 = 138,057,710.58 : x
  2. Step 2: Convert to fraction form
    465,658,802.10/698,369,061.87 = 138,057,710.58/x
  3. Step 3: Cross multiply
    465,658,802.10x = 698,369,061.87 × 138,057,710.58
  4. Step 4: Simplify right side
    465,658,802.10x = 96,415,233,821,674,576
  5. Step 5: Solve for x
    x = 96,415,233,821,674,576/465,658,802.10
  6. Step 6: Final answer
    x = 207,051,243.07

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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.