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Finding the Fourth Proportional to 459,769,609.60, 689,654,414.40 and 409,885,014.40

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Solution

The fourth proportional to 459,769,609.60, 689,654,414.40 and 409,885,014.40 is: 614,827,521.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,769,609.60 : 689,654,414.40 = 409,885,014.40 : x
  2. Step 2: Convert to fraction form
    459,769,609.60/689,654,414.40 = 409,885,014.40/x
  3. Step 3: Cross multiply
    459,769,609.60x = 689,654,414.40 × 409,885,014.40
  4. Step 4: Simplify right side
    459,769,609.60x = 282,679,009,577,367,552
  5. Step 5: Solve for x
    x = 282,679,009,577,367,552/459,769,609.60
  6. Step 6: Final answer
    x = 614,827,521.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.