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Finding the Fourth Proportional to 840,178,666.80, 1,260,268,000.20 and 840,178,666.80

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Solution

The fourth proportional to 840,178,666.80, 1,260,268,000.20 and 840,178,666.80 is: 1,260,268,000.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,178,666.80 : 1,260,268,000.20 = 840,178,666.80 : x
  2. Step 2: Convert to fraction form
    840,178,666.80/1,260,268,000.20 = 840,178,666.80/x
  3. Step 3: Cross multiply
    840,178,666.80x = 1,260,268,000.20 × 840,178,666.80
  4. Step 4: Simplify right side
    840,178,666.80x = 1,058,850,288,218,738,176
  5. Step 5: Solve for x
    x = 1,058,850,288,218,738,176/840,178,666.80
  6. Step 6: Final answer
    x = 1,260,268,000.20

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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.