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Finding the Fourth Proportional to 847,005,423.60, 1,267,820,749.80 and 847,005,423.60

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Solution

The fourth proportional to 847,005,423.60, 1,267,820,749.80 and 847,005,423.60 is: 1,267,820,749.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,005,423.60 : 1,267,820,749.80 = 847,005,423.60 : x
  2. Step 2: Convert to fraction form
    847,005,423.60/1,267,820,749.80 = 847,005,423.60/x
  3. Step 3: Cross multiply
    847,005,423.60x = 1,267,820,749.80 × 847,005,423.60
  4. Step 4: Simplify right side
    847,005,423.60x = 1,073,851,051,233,218,560
  5. Step 5: Solve for x
    x = 1,073,851,051,233,218,560/847,005,423.60
  6. Step 6: Final answer
    x = 1,267,820,749.80

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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.