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Finding the Fourth Proportional to 264,871,406.40, 397,307,109.60 and 264,871,406.40

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Solution

The fourth proportional to 264,871,406.40, 397,307,109.60 and 264,871,406.40 is: 397,307,109.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,871,406.40 : 397,307,109.60 = 264,871,406.40 : x
  2. Step 2: Convert to fraction form
    264,871,406.40/397,307,109.60 = 264,871,406.40/x
  3. Step 3: Cross multiply
    264,871,406.40x = 397,307,109.60 × 264,871,406.40
  4. Step 4: Simplify right side
    264,871,406.40x = 105,235,292,892,470,944
  5. Step 5: Solve for x
    x = 105,235,292,892,470,944/264,871,406.40
  6. Step 6: Final answer
    x = 397,307,109.60

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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.