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Finding the Fourth Proportional to 1,401,486,603.30, 2,102,229,904.95 and 1,401,486,603.30

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Solution

The fourth proportional to 1,401,486,603.30, 2,102,229,904.95 and 1,401,486,603.30 is: 2,102,229,904.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401,486,603.30 : 2,102,229,904.95 = 1,401,486,603.30 : x
  2. Step 2: Convert to fraction form
    1,401,486,603.30/2,102,229,904.95 = 1,401,486,603.30/x
  3. Step 3: Cross multiply
    1,401,486,603.30x = 2,102,229,904.95 × 1,401,486,603.30
  4. Step 4: Simplify right side
    1,401,486,603.30x = 2,946,247,048,844,057,088
  5. Step 5: Solve for x
    x = 2,946,247,048,844,057,088/1,401,486,603.30
  6. Step 6: Final answer
    x = 2,102,229,904.95

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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.