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Finding the Fourth Proportional to 472,566,530.30, 708,849,795.45 and 408,865,538.30

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Solution

The fourth proportional to 472,566,530.30, 708,849,795.45 and 408,865,538.30 is: 613,298,307.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,566,530.30 : 708,849,795.45 = 408,865,538.30 : x
  2. Step 2: Convert to fraction form
    472,566,530.30/708,849,795.45 = 408,865,538.30/x
  3. Step 3: Cross multiply
    472,566,530.30x = 708,849,795.45 × 408,865,538.30
  4. Step 4: Simplify right side
    472,566,530.30x = 289,824,253,190,509,184
  5. Step 5: Solve for x
    x = 289,824,253,190,509,184/472,566,530.30
  6. Step 6: Final answer
    x = 613,298,307.45

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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.