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Finding the Fourth Proportional to 199,555,957.60, 299,389,923.60 and 97,323,330.40

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Solution

The fourth proportional to 199,555,957.60, 299,389,923.60 and 97,323,330.40 is: 146,012,300.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,555,957.60 : 299,389,923.60 = 97,323,330.40 : x
  2. Step 2: Convert to fraction form
    199,555,957.60/299,389,923.60 = 97,323,330.40/x
  3. Step 3: Cross multiply
    199,555,957.60x = 299,389,923.60 × 97,323,330.40
  4. Step 4: Simplify right side
    199,555,957.60x = 29,137,624,452,953,560
  5. Step 5: Solve for x
    x = 29,137,624,452,953,560/199,555,957.60
  6. Step 6: Final answer
    x = 146,012,300.53

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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.