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Finding the Fourth Proportional to 97,121,180.40, 145,681,770.60 and 97,121,180.40

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Solution

The fourth proportional to 97,121,180.40, 145,681,770.60 and 97,121,180.40 is: 145,681,770.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,121,180.40 : 145,681,770.60 = 97,121,180.40 : x
  2. Step 2: Convert to fraction form
    97,121,180.40/145,681,770.60 = 97,121,180.40/x
  3. Step 3: Cross multiply
    97,121,180.40x = 145,681,770.60 × 97,121,180.40
  4. Step 4: Simplify right side
    97,121,180.40x = 14,148,785,523,434,016
  5. Step 5: Solve for x
    x = 14,148,785,523,434,016/97,121,180.40
  6. Step 6: Final answer
    x = 145,681,770.60

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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.