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Finding the Fourth Proportional to 22,674,832,977.60, 31,671,299,764.80 and 22,674,832,977.60

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Solution

The fourth proportional to 22,674,832,977.60, 31,671,299,764.80 and 22,674,832,977.60 is: 31,671,299,764.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,674,832,977.60 : 31,671,299,764.80 = 22,674,832,977.60 : x
  2. Step 2: Convert to fraction form
    22,674,832,977.60/31,671,299,764.80 = 22,674,832,977.60/x
  3. Step 3: Cross multiply
    22,674,832,977.60x = 31,671,299,764.80 × 22,674,832,977.60
  4. Step 4: Simplify right side
    22,674,832,977.60x = 718,141,432,350,342,119,424
  5. Step 5: Solve for x
    x = 718,141,432,350,342,119,424/22,674,832,977.60
  6. Step 6: Final answer
    x = 31,671,299,764.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.