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Finding the Fourth Proportional to 268,272,005.40, 402,408,008.10 and 268,272,005.40

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Solution

The fourth proportional to 268,272,005.40, 402,408,008.10 and 268,272,005.40 is: 402,408,008.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,272,005.40 : 402,408,008.10 = 268,272,005.40 : x
  2. Step 2: Convert to fraction form
    268,272,005.40/402,408,008.10 = 268,272,005.40/x
  3. Step 3: Cross multiply
    268,272,005.40x = 402,408,008.10 × 268,272,005.40
  4. Step 4: Simplify right side
    268,272,005.40x = 107,954,803,322,006,448
  5. Step 5: Solve for x
    x = 107,954,803,322,006,448/268,272,005.40
  6. Step 6: Final answer
    x = 402,408,008.10

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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.