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Finding the Fourth Proportional to 1,056,899,103,669.50, 1,585,348,655,504.40 and 1,056,899,103,669.50

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Solution

The fourth proportional to 1,056,899,103,669.50, 1,585,348,655,504.40 and 1,056,899,103,669.50 is: 1,585,348,655,504.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056,899,103,669.50 : 1,585,348,655,504.40 = 1,056,899,103,669.50 : x
  2. Step 2: Convert to fraction form
    1,056,899,103,669.50/1,585,348,655,504.40 = 1,056,899,103,669.50/x
  3. Step 3: Cross multiply
    1,056,899,103,669.50x = 1,585,348,655,504.40 × 1,056,899,103,669.50
  4. Step 4: Simplify right side
    1,056,899,103,669.50x = 1,675,553,573,006,247,160,971,264
  5. Step 5: Solve for x
    x = 1,675,553,573,006,247,160,971,264/1,056,899,103,669.50
  6. Step 6: Final answer
    x = 1,585,348,655,504.40

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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.