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Finding the Fourth Proportional to 110,008,651,569.45, 165,012,977,354.17 and 110,008,651,569.45

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Solution

The fourth proportional to 110,008,651,569.45, 165,012,977,354.17 and 110,008,651,569.45 is: 165,012,977,354.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,008,651,569.45 : 165,012,977,354.17 = 110,008,651,569.45 : x
  2. Step 2: Convert to fraction form
    110,008,651,569.45/165,012,977,354.17 = 110,008,651,569.45/x
  3. Step 3: Cross multiply
    110,008,651,569.45x = 165,012,977,354.17 × 110,008,651,569.45
  4. Step 4: Simplify right side
    110,008,651,569.45x = 18,152,855,130,192,432,070,656
  5. Step 5: Solve for x
    x = 18,152,855,130,192,432,070,656/110,008,651,569.45
  6. Step 6: Final answer
    x = 165,012,977,354.17

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1.5x scale

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.