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Finding the Fourth Proportional to 406,771,807.40, 610,157,711.10 and 215,668,831.40

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Solution

The fourth proportional to 406,771,807.40, 610,157,711.10 and 215,668,831.40 is: 323,503,247.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,771,807.40 : 610,157,711.10 = 215,668,831.40 : x
  2. Step 2: Convert to fraction form
    406,771,807.40/610,157,711.10 = 215,668,831.40/x
  3. Step 3: Cross multiply
    406,771,807.40x = 610,157,711.10 × 215,668,831.40
  4. Step 4: Simplify right side
    406,771,807.40x = 131,592,000,522,635,824
  5. Step 5: Solve for x
    x = 131,592,000,522,635,824/406,771,807.40
  6. Step 6: Final answer
    x = 323,503,247.10

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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.