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Finding the Fourth Proportional to 472,392,495.90, 708,588,743.85 and 355,050,323.10

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Solution

The fourth proportional to 472,392,495.90, 708,588,743.85 and 355,050,323.10 is: 532,575,484.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,495.90 : 708,588,743.85 = 355,050,323.10 : x
  2. Step 2: Convert to fraction form
    472,392,495.90/708,588,743.85 = 355,050,323.10/x
  3. Step 3: Cross multiply
    472,392,495.90x = 708,588,743.85 × 355,050,323.10
  4. Step 4: Simplify right side
    472,392,495.90x = 251,584,662,448,965,664
  5. Step 5: Solve for x
    x = 251,584,662,448,965,664/472,392,495.90
  6. Step 6: Final answer
    x = 532,575,484.65

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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.