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Finding the Fourth Proportional to 465,295,812.80, 697,346,522.40 and 283,349,854.40

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Solution

The fourth proportional to 465,295,812.80, 697,346,522.40 and 283,349,854.40 is: 424,661,108.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,295,812.80 : 697,346,522.40 = 283,349,854.40 : x
  2. Step 2: Convert to fraction form
    465,295,812.80/697,346,522.40 = 283,349,854.40/x
  3. Step 3: Cross multiply
    465,295,812.80x = 697,346,522.40 × 283,349,854.40
  4. Step 4: Simplify right side
    465,295,812.80x = 197,593,035,588,386,304
  5. Step 5: Solve for x
    x = 197,593,035,588,386,304/465,295,812.80
  6. Step 6: Final answer
    x = 424,661,108.38

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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.