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Finding the Fourth Proportional to 101,817,702,003.15, 152,726,553,004.73 and 101,817,702,003.15

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Solution

The fourth proportional to 101,817,702,003.15, 152,726,553,004.73 and 101,817,702,003.15 is: 152,726,553,004.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,817,702,003.15 : 152,726,553,004.73 = 101,817,702,003.15 : x
  2. Step 2: Convert to fraction form
    101,817,702,003.15/152,726,553,004.73 = 101,817,702,003.15/x
  3. Step 3: Cross multiply
    101,817,702,003.15x = 152,726,553,004.73 × 101,817,702,003.15
  4. Step 4: Simplify right side
    101,817,702,003.15x = 15,550,266,661,803,892,146,176
  5. Step 5: Solve for x
    x = 15,550,266,661,803,892,146,176/101,817,702,003.15
  6. Step 6: Final answer
    x = 152,726,553,004.73

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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.