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Finding the Fourth Proportional to 674,778,801, 1,012,212,612.30 and 176,801,509.02

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Solution

The fourth proportional to 674,778,801, 1,012,212,612.30 and 176,801,509.02 is: 265,213,899.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,778,801 : 1,012,212,612.30 = 176,801,509.02 : x
  2. Step 2: Convert to fraction form
    674,778,801/1,012,212,612.30 = 176,801,509.02/x
  3. Step 3: Cross multiply
    674,778,801x = 1,012,212,612.30 × 176,801,509.02
  4. Step 4: Simplify right side
    674,778,801x = 178,960,717,303,716,224
  5. Step 5: Solve for x
    x = 178,960,717,303,716,224/674,778,801
  6. Step 6: Final answer
    x = 265,213,899.78

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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.