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Finding the Fourth Proportional to 894,574,179, 1,234,497,628.26 and 523,359,097.56

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Solution

The fourth proportional to 894,574,179, 1,234,497,628.26 and 523,359,097.56 is: 722,226,931.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    894,574,179 : 1,234,497,628.26 = 523,359,097.56 : x
  2. Step 2: Convert to fraction form
    894,574,179/1,234,497,628.26 = 523,359,097.56/x
  3. Step 3: Cross multiply
    894,574,179x = 1,234,497,628.26 × 523,359,097.56
  4. Step 4: Simplify right side
    894,574,179x = 646,085,564,666,113,920
  5. Step 5: Solve for x
    x = 646,085,564,666,113,920/894,574,179
  6. Step 6: Final answer
    x = 722,226,931.91

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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.