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Finding the Fourth Proportional to 690,984,000.10, 1,036,476,000.15 and 224,644,522.60

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Solution

The fourth proportional to 690,984,000.10, 1,036,476,000.15 and 224,644,522.60 is: 336,966,783.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,984,000.10 : 1,036,476,000.15 = 224,644,522.60 : x
  2. Step 2: Convert to fraction form
    690,984,000.10/1,036,476,000.15 = 224,644,522.60/x
  3. Step 3: Cross multiply
    690,984,000.10x = 1,036,476,000.15 × 224,644,522.60
  4. Step 4: Simplify right side
    690,984,000.10x = 232,838,656,240,054,272
  5. Step 5: Solve for x
    x = 232,838,656,240,054,272/690,984,000.10
  6. Step 6: Final answer
    x = 336,966,783.90

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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.