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Finding the Fourth Proportional to 711,348,700.25, 981,763,938.71 and 409,876,294.69

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Solution

The fourth proportional to 711,348,700.25, 981,763,938.71 and 409,876,294.69 is: 565,688,480.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,348,700.25 : 981,763,938.71 = 409,876,294.69 : x
  2. Step 2: Convert to fraction form
    711,348,700.25/981,763,938.71 = 409,876,294.69/x
  3. Step 3: Cross multiply
    711,348,700.25x = 981,763,938.71 × 409,876,294.69
  4. Step 4: Simplify right side
    711,348,700.25x = 402,401,765,459,407,808
  5. Step 5: Solve for x
    x = 402,401,765,459,407,808/711,348,700.25
  6. Step 6: Final answer
    x = 565,688,480.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.