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Finding the Fourth Proportional to 121,375,153,923.10, 182,062,730,884.65 and 121,375,153,923.10

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Solution

The fourth proportional to 121,375,153,923.10, 182,062,730,884.65 and 121,375,153,923.10 is: 182,062,730,884.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,375,153,923.10 : 182,062,730,884.65 = 121,375,153,923.10 : x
  2. Step 2: Convert to fraction form
    121,375,153,923.10/182,062,730,884.65 = 121,375,153,923.10/x
  3. Step 3: Cross multiply
    121,375,153,923.10x = 182,062,730,884.65 × 121,375,153,923.10
  4. Step 4: Simplify right side
    121,375,153,923.10x = 22,097,891,984,784,326,918,144
  5. Step 5: Solve for x
    x = 22,097,891,984,784,326,918,144/121,375,153,923.10
  6. Step 6: Final answer
    x = 182,062,730,884.65

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