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Finding the Fourth Proportional to 1,056,899,103,674, 1,585,348,655,511.10 and 1,056,899,103,674

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Solution

The fourth proportional to 1,056,899,103,674, 1,585,348,655,511.10 and 1,056,899,103,674 is: 1,585,348,655,511.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056,899,103,674 : 1,585,348,655,511.10 = 1,056,899,103,674 : x
  2. Step 2: Convert to fraction form
    1,056,899,103,674/1,585,348,655,511.10 = 1,056,899,103,674/x
  3. Step 3: Cross multiply
    1,056,899,103,674x = 1,585,348,655,511.10 × 1,056,899,103,674
  4. Step 4: Simplify right side
    1,056,899,103,674x = 1,675,553,573,020,462,697,414,656
  5. Step 5: Solve for x
    x = 1,675,553,573,020,462,697,414,656/1,056,899,103,674
  6. Step 6: Final answer
    x = 1,585,348,655,511.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.