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Finding the Fourth Proportional to 415,803,613.60, 623,705,420.40 and 211,730,269.60

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Solution

The fourth proportional to 415,803,613.60, 623,705,420.40 and 211,730,269.60 is: 317,595,404.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,803,613.60 : 623,705,420.40 = 211,730,269.60 : x
  2. Step 2: Convert to fraction form
    415,803,613.60/623,705,420.40 = 211,730,269.60/x
  3. Step 3: Cross multiply
    415,803,613.60x = 623,705,420.40 × 211,730,269.60
  4. Step 4: Simplify right side
    415,803,613.60x = 132,057,316,812,273,328
  5. Step 5: Solve for x
    x = 132,057,316,812,273,328/415,803,613.60
  6. Step 6: Final answer
    x = 317,595,404.40

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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.