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Finding the Fourth Proportional to 144,818,352,002.95, 217,227,528,004.43 and 144,818,352,002.95

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Solution

The fourth proportional to 144,818,352,002.95, 217,227,528,004.43 and 144,818,352,002.95 is: 217,227,528,004.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,818,352,002.95 : 217,227,528,004.43 = 144,818,352,002.95 : x
  2. Step 2: Convert to fraction form
    144,818,352,002.95/217,227,528,004.43 = 144,818,352,002.95/x
  3. Step 3: Cross multiply
    144,818,352,002.95x = 217,227,528,004.43 × 144,818,352,002.95
  4. Step 4: Simplify right side
    144,818,352,002.95x = 31,458,532,615,276,223,004,672
  5. Step 5: Solve for x
    x = 31,458,532,615,276,223,004,672/144,818,352,002.95
  6. Step 6: Final answer
    x = 217,227,528,004.43

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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.