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Finding the Fourth Proportional to 1,602,854,837,132, 2,404,282,255,698 and 1,602,854,837,132

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Solution

The fourth proportional to 1,602,854,837,132, 2,404,282,255,698 and 1,602,854,837,132 is: 2,404,282,255,698

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602,854,837,132 : 2,404,282,255,698 = 1,602,854,837,132 : x
  2. Step 2: Convert to fraction form
    1,602,854,837,132/2,404,282,255,698 = 1,602,854,837,132/x
  3. Step 3: Cross multiply
    1,602,854,837,132x = 2,404,282,255,698 × 1,602,854,837,132
  4. Step 4: Simplify right side
    1,602,854,837,132x = 3,853,715,443,376,175,416,606,720
  5. Step 5: Solve for x
    x = 3,853,715,443,376,175,416,606,720/1,602,854,837,132
  6. Step 6: Final answer
    x = 2,404,282,255,698

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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.