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Finding the Fourth Proportional to 24,357,024,194.60, 34,026,367,468.60 and 24,357,024,194.60

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Solution

The fourth proportional to 24,357,024,194.60, 34,026,367,468.60 and 24,357,024,194.60 is: 34,026,367,468.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,357,024,194.60 : 34,026,367,468.60 = 24,357,024,194.60 : x
  2. Step 2: Convert to fraction form
    24,357,024,194.60/34,026,367,468.60 = 24,357,024,194.60/x
  3. Step 3: Cross multiply
    24,357,024,194.60x = 34,026,367,468.60 × 24,357,024,194.60
  4. Step 4: Simplify right side
    24,357,024,194.60x = 828,781,055,687,040,434,176
  5. Step 5: Solve for x
    x = 828,781,055,687,040,434,176/24,357,024,194.60
  6. Step 6: Final answer
    x = 34,026,367,468.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.