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Finding the Fourth Proportional to 402,029,298.40, 561,693,105.20 and 402,029,298.40

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Solution

The fourth proportional to 402,029,298.40, 561,693,105.20 and 402,029,298.40 is: 561,693,105.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,029,298.40 : 561,693,105.20 = 402,029,298.40 : x
  2. Step 2: Convert to fraction form
    402,029,298.40/561,693,105.20 = 402,029,298.40/x
  3. Step 3: Cross multiply
    402,029,298.40x = 561,693,105.20 × 402,029,298.40
  4. Step 4: Simplify right side
    402,029,298.40x = 225,817,084,999,673,408
  5. Step 5: Solve for x
    x = 225,817,084,999,673,408/402,029,298.40
  6. Step 6: Final answer
    x = 561,693,105.20

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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.