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Finding the Fourth Proportional to 264,871,567.90, 397,307,351.85 and 264,871,567.90

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Solution

The fourth proportional to 264,871,567.90, 397,307,351.85 and 264,871,567.90 is: 397,307,351.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,871,567.90 : 397,307,351.85 = 264,871,567.90 : x
  2. Step 2: Convert to fraction form
    264,871,567.90/397,307,351.85 = 264,871,567.90/x
  3. Step 3: Cross multiply
    264,871,567.90x = 397,307,351.85 × 264,871,567.90
  4. Step 4: Simplify right side
    264,871,567.90x = 105,235,421,222,706,480
  5. Step 5: Solve for x
    x = 105,235,421,222,706,480/264,871,567.90
  6. Step 6: Final answer
    x = 397,307,351.85

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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.