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Finding the Fourth Proportional to 298,642,415.40, 447,963,623.10 and 83,231,663.40

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Solution

The fourth proportional to 298,642,415.40, 447,963,623.10 and 83,231,663.40 is: 124,847,495.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,642,415.40 : 447,963,623.10 = 83,231,663.40 : x
  2. Step 2: Convert to fraction form
    298,642,415.40/447,963,623.10 = 83,231,663.40/x
  3. Step 3: Cross multiply
    298,642,415.40x = 447,963,623.10 × 83,231,663.40
  4. Step 4: Simplify right side
    298,642,415.40x = 37,284,757,493,303,672
  5. Step 5: Solve for x
    x = 37,284,757,493,303,672/298,642,415.40
  6. Step 6: Final answer
    x = 124,847,495.10

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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.