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Finding the Fourth Proportional to 777,683,009.60, 1,165,180,821.60 and 656,750,657.60

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Solution

The fourth proportional to 777,683,009.60, 1,165,180,821.60 and 656,750,657.60 is: 983,991,242.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,683,009.60 : 1,165,180,821.60 = 656,750,657.60 : x
  2. Step 2: Convert to fraction form
    777,683,009.60/1,165,180,821.60 = 656,750,657.60/x
  3. Step 3: Cross multiply
    777,683,009.60x = 1,165,180,821.60 × 656,750,657.60
  4. Step 4: Simplify right side
    777,683,009.60x = 765,233,270,808,708,224
  5. Step 5: Solve for x
    x = 765,233,270,808,708,224/777,683,009.60
  6. Step 6: Final answer
    x = 983,991,242.40

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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.