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Finding the Fourth Proportional to 770,116,803.40, 1,155,175,205.10 and 770,116,803.40

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Solution

The fourth proportional to 770,116,803.40, 1,155,175,205.10 and 770,116,803.40 is: 1,155,175,205.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,116,803.40 : 1,155,175,205.10 = 770,116,803.40 : x
  2. Step 2: Convert to fraction form
    770,116,803.40/1,155,175,205.10 = 770,116,803.40/x
  3. Step 3: Cross multiply
    770,116,803.40x = 1,155,175,205.10 × 770,116,803.40
  4. Step 4: Simplify right side
    770,116,803.40x = 889,619,836,318,551,296
  5. Step 5: Solve for x
    x = 889,619,836,318,551,296/770,116,803.40
  6. Step 6: Final answer
    x = 1,155,175,205.10

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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.