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Finding the Fourth Proportional to 400,713,719,864.70, 601,070,579,797.05 and 400,713,719,864.70

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Solution

The fourth proportional to 400,713,719,864.70, 601,070,579,797.05 and 400,713,719,864.70 is: 601,070,579,797.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,713,719,864.70 : 601,070,579,797.05 = 400,713,719,864.70 : x
  2. Step 2: Convert to fraction form
    400,713,719,864.70/601,070,579,797.05 = 400,713,719,864.70/x
  3. Step 3: Cross multiply
    400,713,719,864.70x = 601,070,579,797.05 × 400,713,719,864.70
  4. Step 4: Simplify right side
    400,713,719,864.70x = 240,857,227,931,707,930,312,704
  5. Step 5: Solve for x
    x = 240,857,227,931,707,930,312,704/400,713,719,864.70
  6. Step 6: Final answer
    x = 601,070,579,797.05

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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.