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Finding the Fourth Proportional to 364,033,275.40, 546,049,913.10 and 133,954,751.80

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Solution

The fourth proportional to 364,033,275.40, 546,049,913.10 and 133,954,751.80 is: 200,932,127.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,033,275.40 : 546,049,913.10 = 133,954,751.80 : x
  2. Step 2: Convert to fraction form
    364,033,275.40/546,049,913.10 = 133,954,751.80/x
  3. Step 3: Cross multiply
    364,033,275.40x = 546,049,913.10 × 133,954,751.80
  4. Step 4: Simplify right side
    364,033,275.40x = 73,145,980,579,722,064
  5. Step 5: Solve for x
    x = 73,145,980,579,722,064/364,033,275.40
  6. Step 6: Final answer
    x = 200,932,127.70

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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.