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Finding the Fourth Proportional to 99,842,880.40, 149,693,461.80 and 38,408,300.80

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Solution

The fourth proportional to 99,842,880.40, 149,693,461.80 and 38,408,300.80 is: 57,585,192.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,842,880.40 : 149,693,461.80 = 38,408,300.80 : x
  2. Step 2: Convert to fraction form
    99,842,880.40/149,693,461.80 = 38,408,300.80/x
  3. Step 3: Cross multiply
    99,842,880.40x = 149,693,461.80 × 38,408,300.80
  4. Step 4: Simplify right side
    99,842,880.40x = 5,749,471,508,607,709
  5. Step 5: Solve for x
    x = 5,749,471,508,607,709/99,842,880.40
  6. Step 6: Final answer
    x = 57,585,192.71

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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.