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Finding the Fourth Proportional to 25,101,976,075.40, 37,652,964,113.11 and 25,101,976,075.40

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Solution

The fourth proportional to 25,101,976,075.40, 37,652,964,113.11 and 25,101,976,075.40 is: 37,652,964,113.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,101,976,075.40 : 37,652,964,113.11 = 25,101,976,075.40 : x
  2. Step 2: Convert to fraction form
    25,101,976,075.40/37,652,964,113.11 = 25,101,976,075.40/x
  3. Step 3: Cross multiply
    25,101,976,075.40x = 37,652,964,113.11 × 25,101,976,075.40
  4. Step 4: Simplify right side
    25,101,976,075.40x = 945,163,804,335,182,053,376
  5. Step 5: Solve for x
    x = 945,163,804,335,182,053,376/25,101,976,075.40
  6. Step 6: Final answer
    x = 37,652,964,113.11

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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.