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Finding the Fourth Proportional to 114,049,200.65, 160,071,988.75 and 114,049,200.65

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Solution

The fourth proportional to 114,049,200.65, 160,071,988.75 and 114,049,200.65 is: 160,071,988.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,049,200.65 : 160,071,988.75 = 114,049,200.65 : x
  2. Step 2: Convert to fraction form
    114,049,200.65/160,071,988.75 = 114,049,200.65/x
  3. Step 3: Cross multiply
    114,049,200.65x = 160,071,988.75 × 114,049,200.65
  4. Step 4: Simplify right side
    114,049,200.65x = 18,256,082,363,393,292
  5. Step 5: Solve for x
    x = 18,256,082,363,393,292/114,049,200.65
  6. Step 6: Final answer
    x = 160,071,988.75

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.