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Finding the Fourth Proportional to 522,720,901.80, 784,081,352.70 and 522,720,901.80

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Solution

The fourth proportional to 522,720,901.80, 784,081,352.70 and 522,720,901.80 is: 784,081,352.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,720,901.80 : 784,081,352.70 = 522,720,901.80 : x
  2. Step 2: Convert to fraction form
    522,720,901.80/784,081,352.70 = 522,720,901.80/x
  3. Step 3: Cross multiply
    522,720,901.80x = 784,081,352.70 × 522,720,901.80
  4. Step 4: Simplify right side
    522,720,901.80x = 409,855,711,767,907,904
  5. Step 5: Solve for x
    x = 409,855,711,767,907,904/522,720,901.80
  6. Step 6: Final answer
    x = 784,081,352.70

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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.