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Finding the Fourth Proportional to 475,713,440.84, 656,766,004.60 and 299,652,352.04

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Solution

The fourth proportional to 475,713,440.84, 656,766,004.60 and 299,652,352.04 is: 413,697,535.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,713,440.84 : 656,766,004.60 = 299,652,352.04 : x
  2. Step 2: Convert to fraction form
    475,713,440.84/656,766,004.60 = 299,652,352.04/x
  3. Step 3: Cross multiply
    475,713,440.84x = 656,766,004.60 × 299,652,352.04
  4. Step 4: Simplify right side
    475,713,440.84x = 196,801,478,018,303,488
  5. Step 5: Solve for x
    x = 196,801,478,018,303,488/475,713,440.84
  6. Step 6: Final answer
    x = 413,697,535.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.