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Finding the Fourth Proportional to 559,872,000.30, 839,808,000.45 and 457,835,328.30

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Solution

The fourth proportional to 559,872,000.30, 839,808,000.45 and 457,835,328.30 is: 686,752,992.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,872,000.30 : 839,808,000.45 = 457,835,328.30 : x
  2. Step 2: Convert to fraction form
    559,872,000.30/839,808,000.45 = 457,835,328.30/x
  3. Step 3: Cross multiply
    559,872,000.30x = 839,808,000.45 × 457,835,328.30
  4. Step 4: Simplify right side
    559,872,000.30x = 384,493,771,594,992,320
  5. Step 5: Solve for x
    x = 384,493,771,594,992,320/559,872,000.30
  6. Step 6: Final answer
    x = 686,752,992.45

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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.