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Finding the Fourth Proportional to 30,241,496.74, 45,362,245.11 and 30,241,496.74

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Solution

The fourth proportional to 30,241,496.74, 45,362,245.11 and 30,241,496.74 is: 45,362,245.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,241,496.74 : 45,362,245.11 = 30,241,496.74 : x
  2. Step 2: Convert to fraction form
    30,241,496.74/45,362,245.11 = 30,241,496.74/x
  3. Step 3: Cross multiply
    30,241,496.74x = 45,362,245.11 × 30,241,496.74
  4. Step 4: Simplify right side
    30,241,496.74x = 1,371,822,187,386,334.75
  5. Step 5: Solve for x
    x = 1,371,822,187,386,334.75/30,241,496.74
  6. Step 6: Final answer
    x = 45,362,245.11

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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.