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Finding the Fourth Proportional to 1,015,977,452.07, 1,401,734,670.39 and 592,291,211.07

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Solution

The fourth proportional to 1,015,977,452.07, 1,401,734,670.39 and 592,291,211.07 is: 817,178,692.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015,977,452.07 : 1,401,734,670.39 = 592,291,211.07 : x
  2. Step 2: Convert to fraction form
    1,015,977,452.07/1,401,734,670.39 = 592,291,211.07/x
  3. Step 3: Cross multiply
    1,015,977,452.07x = 1,401,734,670.39 × 592,291,211.07
  4. Step 4: Simplify right side
    1,015,977,452.07x = 830,235,125,524,100,480
  5. Step 5: Solve for x
    x = 830,235,125,524,100,480/1,015,977,452.07
  6. Step 6: Final answer
    x = 817,178,692.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.