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Finding the Fourth Proportional to 153,026,569.70, 214,690,693.90 and 153,026,569.70

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Solution

The fourth proportional to 153,026,569.70, 214,690,693.90 and 153,026,569.70 is: 214,690,693.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,026,569.70 : 214,690,693.90 = 153,026,569.70 : x
  2. Step 2: Convert to fraction form
    153,026,569.70/214,690,693.90 = 153,026,569.70/x
  3. Step 3: Cross multiply
    153,026,569.70x = 214,690,693.90 × 153,026,569.70
  4. Step 4: Simplify right side
    153,026,569.70x = 32,853,380,434,029,712
  5. Step 5: Solve for x
    x = 32,853,380,434,029,712/153,026,569.70
  6. Step 6: Final answer
    x = 214,690,693.90

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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.