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Finding the Fourth Proportional to 926,402,818,511.75, 1,389,604,227,767.80 and 926,402,818,511.75

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Solution

The fourth proportional to 926,402,818,511.75, 1,389,604,227,767.80 and 926,402,818,511.75 is: 1,389,604,227,767.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    926,402,818,511.75 : 1,389,604,227,767.80 = 926,402,818,511.75 : x
  2. Step 2: Convert to fraction form
    926,402,818,511.75/1,389,604,227,767.80 = 926,402,818,511.75/x
  3. Step 3: Cross multiply
    926,402,818,511.75x = 1,389,604,227,767.80 × 926,402,818,511.75
  4. Step 4: Simplify right side
    926,402,818,511.75x = 1,287,333,273,219,933,814,128,640
  5. Step 5: Solve for x
    x = 1,287,333,273,219,933,814,128,640/926,402,818,511.75
  6. Step 6: Final answer
    x = 1,389,604,227,767.80

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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.