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Finding the Fourth Proportional to 310,294,510.96, 465,301,700.02 and 88,915,214.98

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Solution

The fourth proportional to 310,294,510.96, 465,301,700.02 and 88,915,214.98 is: 133,332,686.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,294,510.96 : 465,301,700.02 = 88,915,214.98 : x
  2. Step 2: Convert to fraction form
    310,294,510.96/465,301,700.02 = 88,915,214.98/x
  3. Step 3: Cross multiply
    310,294,510.96x = 465,301,700.02 × 88,915,214.98
  4. Step 4: Simplify right side
    310,294,510.96x = 41,372,400,687,837,768
  5. Step 5: Solve for x
    x = 41,372,400,687,837,768/310,294,510.96
  6. Step 6: Final answer
    x = 133,332,686.29

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Why These Related Problems?

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