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Finding the Fourth Proportional to 1,456,552,854.90, 2,184,829,282.35 and 1,456,552,854.90

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Solution

The fourth proportional to 1,456,552,854.90, 2,184,829,282.35 and 1,456,552,854.90 is: 2,184,829,282.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456,552,854.90 : 2,184,829,282.35 = 1,456,552,854.90 : x
  2. Step 2: Convert to fraction form
    1,456,552,854.90/2,184,829,282.35 = 1,456,552,854.90/x
  3. Step 3: Cross multiply
    1,456,552,854.90x = 2,184,829,282.35 × 1,456,552,854.90
  4. Step 4: Simplify right side
    1,456,552,854.90x = 3,182,319,328,676,010,496
  5. Step 5: Solve for x
    x = 3,182,319,328,676,010,496/1,456,552,854.90
  6. Step 6: Final answer
    x = 2,184,829,282.35

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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.