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Finding the Fourth Proportional to 463,575,360,040.80, 695,363,040,061.20 and 463,575,360,040.80

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Solution

The fourth proportional to 463,575,360,040.80, 695,363,040,061.20 and 463,575,360,040.80 is: 695,363,040,061.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,575,360,040.80 : 695,363,040,061.20 = 463,575,360,040.80 : x
  2. Step 2: Convert to fraction form
    463,575,360,040.80/695,363,040,061.20 = 463,575,360,040.80/x
  3. Step 3: Cross multiply
    463,575,360,040.80x = 695,363,040,061.20 × 463,575,360,040.80
  4. Step 4: Simplify right side
    463,575,360,040.80x = 322,353,171,655,435,988,500,480
  5. Step 5: Solve for x
    x = 322,353,171,655,435,988,500,480/463,575,360,040.80
  6. Step 6: Final answer
    x = 695,363,040,061.20

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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.