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Finding the Fourth Proportional to 517,213,986.30, 725,913,566.10 and 517,213,986.30

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Solution

The fourth proportional to 517,213,986.30, 725,913,566.10 and 517,213,986.30 is: 725,913,566.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,213,986.30 : 725,913,566.10 = 517,213,986.30 : x
  2. Step 2: Convert to fraction form
    517,213,986.30/725,913,566.10 = 517,213,986.30/x
  3. Step 3: Cross multiply
    517,213,986.30x = 725,913,566.10 × 517,213,986.30
  4. Step 4: Simplify right side
    517,213,986.30x = 375,452,649,231,829,568
  5. Step 5: Solve for x
    x = 375,452,649,231,829,568/517,213,986.30
  6. Step 6: Final answer
    x = 725,913,566.10

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.