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Finding the Fourth Proportional to 106,283,931.20, 159,142,461.60 and 106,283,931.20

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Solution

The fourth proportional to 106,283,931.20, 159,142,461.60 and 106,283,931.20 is: 159,142,461.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,283,931.20 : 159,142,461.60 = 106,283,931.20 : x
  2. Step 2: Convert to fraction form
    106,283,931.20/159,142,461.60 = 106,283,931.20/x
  3. Step 3: Cross multiply
    106,283,931.20x = 159,142,461.60 × 106,283,931.20
  4. Step 4: Simplify right side
    106,283,931.20x = 16,914,286,439,693,042
  5. Step 5: Solve for x
    x = 16,914,286,439,693,042/106,283,931.20
  6. Step 6: Final answer
    x = 159,142,461.60

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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.