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Finding the Fourth Proportional to 121,375,158,567.60, 182,062,737,851.40 and 121,375,158,567.60

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Solution

The fourth proportional to 121,375,158,567.60, 182,062,737,851.40 and 121,375,158,567.60 is: 182,062,737,851.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,375,158,567.60 : 182,062,737,851.40 = 121,375,158,567.60 : x
  2. Step 2: Convert to fraction form
    121,375,158,567.60/182,062,737,851.40 = 121,375,158,567.60/x
  3. Step 3: Cross multiply
    121,375,158,567.60x = 182,062,737,851.40 × 121,375,158,567.60
  4. Step 4: Simplify right side
    121,375,158,567.60x = 22,097,893,675,965,066,772,480
  5. Step 5: Solve for x
    x = 22,097,893,675,965,066,772,480/121,375,158,567.60
  6. Step 6: Final answer
    x = 182,062,737,851.40

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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.