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Finding the Fourth Proportional to 21,490,891,488,051, 32,236,337,232,076 and 21,490,891,488,051

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Solution

The fourth proportional to 21,490,891,488,051, 32,236,337,232,076 and 21,490,891,488,051 is: 32,236,337,232,076

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,490,891,488,051 : 32,236,337,232,076 = 21,490,891,488,051 : x
  2. Step 2: Convert to fraction form
    21,490,891,488,051/32,236,337,232,076 = 21,490,891,488,051/x
  3. Step 3: Cross multiply
    21,490,891,488,051x = 32,236,337,232,076 × 21,490,891,488,051
  4. Step 4: Simplify right side
    21,490,891,488,051x = 692,787,625,426,763,626,003,300,352
  5. Step 5: Solve for x
    x = 692,787,625,426,763,626,003,300,352/21,490,891,488,051
  6. Step 6: Final answer
    x = 32,236,337,232,076

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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.