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Finding the Fourth Proportional to 700,560,582, 966,613,213.04 and 418,248,078.45

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Solution

The fourth proportional to 700,560,582, 966,613,213.04 and 418,248,078.45 is: 577,086,592.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,560,582 : 966,613,213.04 = 418,248,078.45 : x
  2. Step 2: Convert to fraction form
    700,560,582/966,613,213.04 = 418,248,078.45/x
  3. Step 3: Cross multiply
    700,560,582x = 966,613,213.04 × 418,248,078.45
  4. Step 4: Simplify right side
    700,560,582x = 404,284,118,956,269,248
  5. Step 5: Solve for x
    x = 404,284,118,956,269,248/700,560,582
  6. Step 6: Final answer
    x = 577,086,592.29

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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.