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Finding the Fourth Proportional to 597,537,017.56, 824,604,678.30 and 333,235,695.88

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Solution

The fourth proportional to 597,537,017.56, 824,604,678.30 and 333,235,695.88 is: 459,867,264.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,537,017.56 : 824,604,678.30 = 333,235,695.88 : x
  2. Step 2: Convert to fraction form
    597,537,017.56/824,604,678.30 = 333,235,695.88/x
  3. Step 3: Cross multiply
    597,537,017.56x = 824,604,678.30 × 333,235,695.88
  4. Step 4: Simplify right side
    597,537,017.56x = 274,787,713,799,204,000
  5. Step 5: Solve for x
    x = 274,787,713,799,204,000/597,537,017.56
  6. Step 6: Final answer
    x = 459,867,264.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.