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Finding the Fourth Proportional to 1,080,354,625.05, 1,516,577,941.95 and 1,080,354,625.05

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Solution

The fourth proportional to 1,080,354,625.05, 1,516,577,941.95 and 1,080,354,625.05 is: 1,516,577,941.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080,354,625.05 : 1,516,577,941.95 = 1,080,354,625.05 : x
  2. Step 2: Convert to fraction form
    1,080,354,625.05/1,516,577,941.95 = 1,080,354,625.05/x
  3. Step 3: Cross multiply
    1,080,354,625.05x = 1,516,577,941.95 × 1,080,354,625.05
  4. Step 4: Simplify right side
    1,080,354,625.05x = 1,638,441,993,834,492,928
  5. Step 5: Solve for x
    x = 1,638,441,993,834,492,928/1,080,354,625.05
  6. Step 6: Final answer
    x = 1,516,577,941.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.