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Finding the Fourth Proportional to 406,771,808.40, 610,157,712.60 and 215,668,832.40

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Solution

The fourth proportional to 406,771,808.40, 610,157,712.60 and 215,668,832.40 is: 323,503,248.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,771,808.40 : 610,157,712.60 = 215,668,832.40 : x
  2. Step 2: Convert to fraction form
    406,771,808.40/610,157,712.60 = 215,668,832.40/x
  3. Step 3: Cross multiply
    406,771,808.40x = 610,157,712.60 × 215,668,832.40
  4. Step 4: Simplify right side
    406,771,808.40x = 131,592,001,456,296,784
  5. Step 5: Solve for x
    x = 131,592,001,456,296,784/406,771,808.40
  6. Step 6: Final answer
    x = 323,503,248.60

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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.