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Finding the Fourth Proportional to 99,156,675.60, 148,735,013.40 and 99,156,675.60

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Solution

The fourth proportional to 99,156,675.60, 148,735,013.40 and 99,156,675.60 is: 148,735,013.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,156,675.60 : 148,735,013.40 = 99,156,675.60 : x
  2. Step 2: Convert to fraction form
    99,156,675.60/148,735,013.40 = 99,156,675.60/x
  3. Step 3: Cross multiply
    99,156,675.60x = 148,735,013.40 × 99,156,675.60
  4. Step 4: Simplify right side
    99,156,675.60x = 14,748,069,474,065,452
  5. Step 5: Solve for x
    x = 14,748,069,474,065,452/99,156,675.60
  6. Step 6: Final answer
    x = 148,735,013.40

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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.