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Finding the Fourth Proportional to 695,158,280, 1,042,871,697.12 and 264,303,275.84

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Solution

The fourth proportional to 695,158,280, 1,042,871,697.12 and 264,303,275.84 is: 396,505,966.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,158,280 : 1,042,871,697.12 = 264,303,275.84 : x
  2. Step 2: Convert to fraction form
    695,158,280/1,042,871,697.12 = 264,303,275.84/x
  3. Step 3: Cross multiply
    695,158,280x = 1,042,871,697.12 × 264,303,275.84
  4. Step 4: Simplify right side
    695,158,280x = 275,634,405,829,636,288
  5. Step 5: Solve for x
    x = 275,634,405,829,636,288/695,158,280
  6. Step 6: Final answer
    x = 396,505,966.71

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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.