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Finding the Fourth Proportional to 712,667,713.10, 1,069,001,569.65 and 467,779,700.30

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Solution

The fourth proportional to 712,667,713.10, 1,069,001,569.65 and 467,779,700.30 is: 701,669,550.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,667,713.10 : 1,069,001,569.65 = 467,779,700.30 : x
  2. Step 2: Convert to fraction form
    712,667,713.10/1,069,001,569.65 = 467,779,700.30/x
  3. Step 3: Cross multiply
    712,667,713.10x = 1,069,001,569.65 × 467,779,700.30
  4. Step 4: Simplify right side
    712,667,713.10x = 500,057,233,871,106,560
  5. Step 5: Solve for x
    x = 500,057,233,871,106,560/712,667,713.10
  6. Step 6: Final answer
    x = 701,669,550.45

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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.