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Finding the Fourth Proportional to 891,116,593,940.80, 1,336,674,890,911.20 and 891,116,593,940.80

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Solution

The fourth proportional to 891,116,593,940.80, 1,336,674,890,911.20 and 891,116,593,940.80 is: 1,336,674,890,911.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,116,593,940.80 : 1,336,674,890,911.20 = 891,116,593,940.80 : x
  2. Step 2: Convert to fraction form
    891,116,593,940.80/1,336,674,890,911.20 = 891,116,593,940.80/x
  3. Step 3: Cross multiply
    891,116,593,940.80x = 1,336,674,890,911.20 × 891,116,593,940.80
  4. Step 4: Simplify right side
    891,116,593,940.80x = 1,191,133,175,994,979,018,866,688
  5. Step 5: Solve for x
    x = 1,191,133,175,994,979,018,866,688/891,116,593,940.80
  6. Step 6: Final answer
    x = 1,336,674,890,911.20

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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.