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Finding the Fourth Proportional to 153,026,542.20, 214,690,655.40 and 153,026,542.20

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Solution

The fourth proportional to 153,026,542.20, 214,690,655.40 and 153,026,542.20 is: 214,690,655.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,026,542.20 : 214,690,655.40 = 153,026,542.20 : x
  2. Step 2: Convert to fraction form
    153,026,542.20/214,690,655.40 = 153,026,542.20/x
  3. Step 3: Cross multiply
    153,026,542.20x = 214,690,655.40 × 153,026,542.20
  4. Step 4: Simplify right side
    153,026,542.20x = 32,853,368,638,513,756
  5. Step 5: Solve for x
    x = 32,853,368,638,513,756/153,026,542.20
  6. Step 6: Final answer
    x = 214,690,655.40

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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.