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Finding the Fourth Proportional to 104,328,651,345.30, 156,492,977,017.95 and 104,328,651,345.30

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Solution

The fourth proportional to 104,328,651,345.30, 156,492,977,017.95 and 104,328,651,345.30 is: 156,492,977,017.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,328,651,345.30 : 156,492,977,017.95 = 104,328,651,345.30 : x
  2. Step 2: Convert to fraction form
    104,328,651,345.30/156,492,977,017.95 = 104,328,651,345.30/x
  3. Step 3: Cross multiply
    104,328,651,345.30x = 156,492,977,017.95 × 104,328,651,345.30
  4. Step 4: Simplify right side
    104,328,651,345.30x = 16,326,701,237,293,753,040,896
  5. Step 5: Solve for x
    x = 16,326,701,237,293,753,040,896/104,328,651,345.30
  6. Step 6: Final answer
    x = 156,492,977,017.95

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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.