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Finding the Fourth Proportional to 891,758,219,984.15, 1,337,637,329,976.20 and 891,758,219,984.15

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Solution

The fourth proportional to 891,758,219,984.15, 1,337,637,329,976.20 and 891,758,219,984.15 is: 1,337,637,329,976.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,758,219,984.15 : 1,337,637,329,976.20 = 891,758,219,984.15 : x
  2. Step 2: Convert to fraction form
    891,758,219,984.15/1,337,637,329,976.20 = 891,758,219,984.15/x
  3. Step 3: Cross multiply
    891,758,219,984.15x = 1,337,637,329,976.20 × 891,758,219,984.15
  4. Step 4: Simplify right side
    891,758,219,984.15x = 1,192,849,084,363,927,128,637,440
  5. Step 5: Solve for x
    x = 1,192,849,084,363,927,128,637,440/891,758,219,984.15
  6. Step 6: Final answer
    x = 1,337,637,329,976.20

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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.