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Finding the Fourth Proportional to 757,804,549.65, 1,136,706,824.48 and 757,804,549.65

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Solution

The fourth proportional to 757,804,549.65, 1,136,706,824.48 and 757,804,549.65 is: 1,136,706,824.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,804,549.65 : 1,136,706,824.48 = 757,804,549.65 : x
  2. Step 2: Convert to fraction form
    757,804,549.65/1,136,706,824.48 = 757,804,549.65/x
  3. Step 3: Cross multiply
    757,804,549.65x = 1,136,706,824.48 × 757,804,549.65
  4. Step 4: Simplify right side
    757,804,549.65x = 861,401,603,205,358,848
  5. Step 5: Solve for x
    x = 861,401,603,205,358,848/757,804,549.65
  6. Step 6: Final answer
    x = 1,136,706,824.48

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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.