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Finding the Fourth Proportional to 863,168,000.20, 1,294,752,000.30 and 784,561,971.40

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Solution

The fourth proportional to 863,168,000.20, 1,294,752,000.30 and 784,561,971.40 is: 1,176,842,957.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,168,000.20 : 1,294,752,000.30 = 784,561,971.40 : x
  2. Step 2: Convert to fraction form
    863,168,000.20/1,294,752,000.30 = 784,561,971.40/x
  3. Step 3: Cross multiply
    863,168,000.20x = 1,294,752,000.30 × 784,561,971.40
  4. Step 4: Simplify right side
    863,168,000.20x = 1,015,813,181,829,461,376
  5. Step 5: Solve for x
    x = 1,015,813,181,829,461,376/863,168,000.20
  6. Step 6: Final answer
    x = 1,176,842,957.10

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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.