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Finding the Fourth Proportional to 101,414,567.60, 152,121,851.40 and 101,414,567.60

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Solution

The fourth proportional to 101,414,567.60, 152,121,851.40 and 101,414,567.60 is: 152,121,851.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,414,567.60 : 152,121,851.40 = 101,414,567.60 : x
  2. Step 2: Convert to fraction form
    101,414,567.60/152,121,851.40 = 101,414,567.60/x
  3. Step 3: Cross multiply
    101,414,567.60x = 152,121,851.40 × 101,414,567.60
  4. Step 4: Simplify right side
    101,414,567.60x = 15,427,371,782,242,454
  5. Step 5: Solve for x
    x = 15,427,371,782,242,454/101,414,567.60
  6. Step 6: Final answer
    x = 152,121,851.40

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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.