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Finding the Fourth Proportional to 540,596,314.72, 746,638,772.16 and 366,453,727.84

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Solution

The fourth proportional to 540,596,314.72, 746,638,772.16 and 366,453,727.84 is: 506,123,615.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,596,314.72 : 746,638,772.16 = 366,453,727.84 : x
  2. Step 2: Convert to fraction form
    540,596,314.72/746,638,772.16 = 366,453,727.84/x
  3. Step 3: Cross multiply
    540,596,314.72x = 746,638,772.16 × 366,453,727.84
  4. Step 4: Simplify right side
    540,596,314.72x = 273,608,561,407,912,384
  5. Step 5: Solve for x
    x = 273,608,561,407,912,384/540,596,314.72
  6. Step 6: Final answer
    x = 506,123,615.64

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