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Finding the Fourth Proportional to 96,872,292,023.70, 145,308,438,035.55 and 96,872,292,023.70

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Solution

The fourth proportional to 96,872,292,023.70, 145,308,438,035.55 and 96,872,292,023.70 is: 145,308,438,035.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,872,292,023.70 : 145,308,438,035.55 = 96,872,292,023.70 : x
  2. Step 2: Convert to fraction form
    96,872,292,023.70/145,308,438,035.55 = 96,872,292,023.70/x
  3. Step 3: Cross multiply
    96,872,292,023.70x = 145,308,438,035.55 × 96,872,292,023.70
  4. Step 4: Simplify right side
    96,872,292,023.70x = 14,076,361,442,887,515,242,496
  5. Step 5: Solve for x
    x = 14,076,361,442,887,515,242,496/96,872,292,023.70
  6. Step 6: Final answer
    x = 145,308,438,035.55

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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.