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Finding the Fourth Proportional to 885,732,085.10, 1,328,598,127.65 and 885,732,085.10

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Solution

The fourth proportional to 885,732,085.10, 1,328,598,127.65 and 885,732,085.10 is: 1,328,598,127.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    885,732,085.10 : 1,328,598,127.65 = 885,732,085.10 : x
  2. Step 2: Convert to fraction form
    885,732,085.10/1,328,598,127.65 = 885,732,085.10/x
  3. Step 3: Cross multiply
    885,732,085.10x = 1,328,598,127.65 × 885,732,085.10
  4. Step 4: Simplify right side
    885,732,085.10x = 1,176,781,989,863,390,464
  5. Step 5: Solve for x
    x = 1,176,781,989,863,390,464/885,732,085.10
  6. Step 6: Final answer
    x = 1,328,598,127.65

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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.