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Finding the Fourth Proportional to 725,808,766.20, 1,088,713,149.30 and 725,808,766.20

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Solution

The fourth proportional to 725,808,766.20, 1,088,713,149.30 and 725,808,766.20 is: 1,088,713,149.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,808,766.20 : 1,088,713,149.30 = 725,808,766.20 : x
  2. Step 2: Convert to fraction form
    725,808,766.20/1,088,713,149.30 = 725,808,766.20/x
  3. Step 3: Cross multiply
    725,808,766.20x = 1,088,713,149.30 × 725,808,766.20
  4. Step 4: Simplify right side
    725,808,766.20x = 790,197,547,639,149,440
  5. Step 5: Solve for x
    x = 790,197,547,639,149,440/725,808,766.20
  6. Step 6: Final answer
    x = 1,088,713,149.30

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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.