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Finding the Fourth Proportional to 144,896,051.40, 217,344,077.10 and 144,896,051.40

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Solution

The fourth proportional to 144,896,051.40, 217,344,077.10 and 144,896,051.40 is: 217,344,077.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,896,051.40 : 217,344,077.10 = 144,896,051.40 : x
  2. Step 2: Convert to fraction form
    144,896,051.40/217,344,077.10 = 144,896,051.40/x
  3. Step 3: Cross multiply
    144,896,051.40x = 217,344,077.10 × 144,896,051.40
  4. Step 4: Simplify right side
    144,896,051.40x = 31,492,298,566,967,164
  5. Step 5: Solve for x
    x = 31,492,298,566,967,164/144,896,051.40
  6. Step 6: Final answer
    x = 217,344,077.10

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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.