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Finding the Fourth Proportional to 14,671,097,360.80, 22,006,646,041.20 and 14,671,097,360.80

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Solution

The fourth proportional to 14,671,097,360.80, 22,006,646,041.20 and 14,671,097,360.80 is: 22,006,646,041.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,671,097,360.80 : 22,006,646,041.20 = 14,671,097,360.80 : x
  2. Step 2: Convert to fraction form
    14,671,097,360.80/22,006,646,041.20 = 14,671,097,360.80/x
  3. Step 3: Cross multiply
    14,671,097,360.80x = 22,006,646,041.20 × 14,671,097,360.80
  4. Step 4: Simplify right side
    14,671,097,360.80x = 322,861,646,655,109,070,848
  5. Step 5: Solve for x
    x = 322,861,646,655,109,070,848/14,671,097,360.80
  6. Step 6: Final answer
    x = 22,006,646,041.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.