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Finding the Fourth Proportional to 152,811,352,849.70, 229,217,029,274.55 and 152,811,352,849.70

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Solution

The fourth proportional to 152,811,352,849.70, 229,217,029,274.55 and 152,811,352,849.70 is: 229,217,029,274.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,811,352,849.70 : 229,217,029,274.55 = 152,811,352,849.70 : x
  2. Step 2: Convert to fraction form
    152,811,352,849.70/229,217,029,274.55 = 152,811,352,849.70/x
  3. Step 3: Cross multiply
    152,811,352,849.70x = 229,217,029,274.55 × 152,811,352,849.70
  4. Step 4: Simplify right side
    152,811,352,849.70x = 35,026,964,339,633,275,535,360
  5. Step 5: Solve for x
    x = 35,026,964,339,633,275,535,360/152,811,352,849.70
  6. Step 6: Final answer
    x = 229,217,029,274.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.