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Finding the Fourth Proportional to 516,336,564, 712,544,474.88 and 284,549,556

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Solution

The fourth proportional to 516,336,564, 712,544,474.88 and 284,549,556 is: 392,678,396.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,336,564 : 712,544,474.88 = 284,549,556 : x
  2. Step 2: Convert to fraction form
    516,336,564/712,544,474.88 = 284,549,556/x
  3. Step 3: Cross multiply
    516,336,564x = 712,544,474.88 × 284,549,556
  4. Step 4: Simplify right side
    516,336,564x = 202,754,213,957,357,152
  5. Step 5: Solve for x
    x = 202,754,213,957,357,152/516,336,564
  6. Step 6: Final answer
    x = 392,678,396.41

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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.