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Finding the Fourth Proportional to 517,108,643.30, 775,662,964.95 and 517,108,643.30

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Solution

The fourth proportional to 517,108,643.30, 775,662,964.95 and 517,108,643.30 is: 775,662,964.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,108,643.30 : 775,662,964.95 = 517,108,643.30 : x
  2. Step 2: Convert to fraction form
    517,108,643.30/775,662,964.95 = 517,108,643.30/x
  3. Step 3: Cross multiply
    517,108,643.30x = 775,662,964.95 × 517,108,643.30
  4. Step 4: Simplify right side
    517,108,643.30x = 401,102,023,463,350,016
  5. Step 5: Solve for x
    x = 401,102,023,463,350,016/517,108,643.30
  6. Step 6: Final answer
    x = 775,662,964.95

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Double scale
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1.5x scale

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.