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Finding the Fourth Proportional to 704,611,427.10, 1,056,917,140.65 and 704,611,427.10

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Solution

The fourth proportional to 704,611,427.10, 1,056,917,140.65 and 704,611,427.10 is: 1,056,917,140.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,611,427.10 : 1,056,917,140.65 = 704,611,427.10 : x
  2. Step 2: Convert to fraction form
    704,611,427.10/1,056,917,140.65 = 704,611,427.10/x
  3. Step 3: Cross multiply
    704,611,427.10x = 1,056,917,140.65 × 704,611,427.10
  4. Step 4: Simplify right side
    704,611,427.10x = 744,715,894,799,847,936
  5. Step 5: Solve for x
    x = 744,715,894,799,847,936/704,611,427.10
  6. Step 6: Final answer
    x = 1,056,917,140.65

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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.