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Finding the Fourth Proportional to 1,456,552,902.15, 2,184,829,353.23 and 1,456,552,902.15

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Solution

The fourth proportional to 1,456,552,902.15, 2,184,829,353.23 and 1,456,552,902.15 is: 2,184,829,353.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456,552,902.15 : 2,184,829,353.23 = 1,456,552,902.15 : x
  2. Step 2: Convert to fraction form
    1,456,552,902.15/2,184,829,353.23 = 1,456,552,902.15/x
  3. Step 3: Cross multiply
    1,456,552,902.15x = 2,184,829,353.23 × 1,456,552,902.15
  4. Step 4: Simplify right side
    1,456,552,902.15x = 3,182,319,535,142,381,056
  5. Step 5: Solve for x
    x = 3,182,319,535,142,381,056/1,456,552,902.15
  6. Step 6: Final answer
    x = 2,184,829,353.23

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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.