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Finding the Fourth Proportional to 312,929,784,601.20, 469,394,676,901.80 and 312,929,784,601.20

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Solution

The fourth proportional to 312,929,784,601.20, 469,394,676,901.80 and 312,929,784,601.20 is: 469,394,676,901.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,929,784,601.20 : 469,394,676,901.80 = 312,929,784,601.20 : x
  2. Step 2: Convert to fraction form
    312,929,784,601.20/469,394,676,901.80 = 312,929,784,601.20/x
  3. Step 3: Cross multiply
    312,929,784,601.20x = 469,394,676,901.80 × 312,929,784,601.20
  4. Step 4: Simplify right side
    312,929,784,601.20x = 146,887,575,135,830,142,877,696
  5. Step 5: Solve for x
    x = 146,887,575,135,830,142,877,696/312,929,784,601.20
  6. Step 6: Final answer
    x = 469,394,676,901.80

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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.