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Finding the Fourth Proportional to 517,048,300.79, 771,018,729.66 and 512,384,906.01

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Solution

The fourth proportional to 517,048,300.79, 771,018,729.66 and 512,384,906.01 is: 764,064,708.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,048,300.79 : 771,018,729.66 = 512,384,906.01 : x
  2. Step 2: Convert to fraction form
    517,048,300.79/771,018,729.66 = 512,384,906.01/x
  3. Step 3: Cross multiply
    517,048,300.79x = 771,018,729.66 × 512,384,906.01
  4. Step 4: Simplify right side
    517,048,300.79x = 395,058,359,328,788,672
  5. Step 5: Solve for x
    x = 395,058,359,328,788,672/517,048,300.79
  6. Step 6: Final answer
    x = 764,064,708.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.