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Finding the Fourth Proportional to 704,599,402,447.70, 1,056,899,103,671.60 and 704,599,402,447.70

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Solution

The fourth proportional to 704,599,402,447.70, 1,056,899,103,671.60 and 704,599,402,447.70 is: 1,056,899,103,671.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,599,402,447.70 : 1,056,899,103,671.60 = 704,599,402,447.70 : x
  2. Step 2: Convert to fraction form
    704,599,402,447.70/1,056,899,103,671.60 = 704,599,402,447.70/x
  3. Step 3: Cross multiply
    704,599,402,447.70x = 1,056,899,103,671.60 × 704,599,402,447.70
  4. Step 4: Simplify right side
    704,599,402,447.70x = 744,690,476,894,519,052,730,368
  5. Step 5: Solve for x
    x = 744,690,476,894,519,052,730,368/704,599,402,447.70
  6. Step 6: Final answer
    x = 1,056,899,103,671.60

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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.