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Finding the Fourth Proportional to 329,348,898.92, 494,020,526.34 and 83,706,239.90

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Solution

The fourth proportional to 329,348,898.92, 494,020,526.34 and 83,706,239.90 is: 125,558,642.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,348,898.92 : 494,020,526.34 = 83,706,239.90 : x
  2. Step 2: Convert to fraction form
    329,348,898.92/494,020,526.34 = 83,706,239.90/x
  3. Step 3: Cross multiply
    329,348,898.92x = 494,020,526.34 × 83,706,239.90
  4. Step 4: Simplify right side
    329,348,898.92x = 41,352,600,693,340,312
  5. Step 5: Solve for x
    x = 41,352,600,693,340,312/329,348,898.92
  6. Step 6: Final answer
    x = 125,558,642.61

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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.