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Finding the Fourth Proportional to 209,953,733.70, 314,930,600.55 and 56,594,295.30

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Solution

The fourth proportional to 209,953,733.70, 314,930,600.55 and 56,594,295.30 is: 84,891,442.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,953,733.70 : 314,930,600.55 = 56,594,295.30 : x
  2. Step 2: Convert to fraction form
    209,953,733.70/314,930,600.55 = 56,594,295.30/x
  3. Step 3: Cross multiply
    209,953,733.70x = 314,930,600.55 × 56,594,295.30
  4. Step 4: Simplify right side
    209,953,733.70x = 17,823,275,406,533,042
  5. Step 5: Solve for x
    x = 17,823,275,406,533,042/209,953,733.70
  6. Step 6: Final answer
    x = 84,891,442.95

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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.