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Finding the Fourth Proportional to 275,698,812.40, 413,548,218.60 and 146,239,784.80

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Solution

The fourth proportional to 275,698,812.40, 413,548,218.60 and 146,239,784.80 is: 219,359,677.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,698,812.40 : 413,548,218.60 = 146,239,784.80 : x
  2. Step 2: Convert to fraction form
    275,698,812.40/413,548,218.60 = 146,239,784.80/x
  3. Step 3: Cross multiply
    275,698,812.40x = 413,548,218.60 × 146,239,784.80
  4. Step 4: Simplify right side
    275,698,812.40x = 60,477,202,492,487,368
  5. Step 5: Solve for x
    x = 60,477,202,492,487,368/275,698,812.40
  6. Step 6: Final answer
    x = 219,359,677.20

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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.