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Finding the Fourth Proportional to 770,116,802.40, 1,155,175,203.60 and 770,116,802.40

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Solution

The fourth proportional to 770,116,802.40, 1,155,175,203.60 and 770,116,802.40 is: 1,155,175,203.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,116,802.40 : 1,155,175,203.60 = 770,116,802.40 : x
  2. Step 2: Convert to fraction form
    770,116,802.40/1,155,175,203.60 = 770,116,802.40/x
  3. Step 3: Cross multiply
    770,116,802.40x = 1,155,175,203.60 × 770,116,802.40
  4. Step 4: Simplify right side
    770,116,802.40x = 889,619,834,008,200,832
  5. Step 5: Solve for x
    x = 889,619,834,008,200,832/770,116,802.40
  6. Step 6: Final answer
    x = 1,155,175,203.60

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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.