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Finding the Fourth Proportional to 852,118,486.40, 1,278,177,729.60 and 852,118,486.40

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Solution

The fourth proportional to 852,118,486.40, 1,278,177,729.60 and 852,118,486.40 is: 1,278,177,729.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,118,486.40 : 1,278,177,729.60 = 852,118,486.40 : x
  2. Step 2: Convert to fraction form
    852,118,486.40/1,278,177,729.60 = 852,118,486.40/x
  3. Step 3: Cross multiply
    852,118,486.40x = 1,278,177,729.60 × 852,118,486.40
  4. Step 4: Simplify right side
    852,118,486.40x = 1,089,158,872,296,940,416
  5. Step 5: Solve for x
    x = 1,089,158,872,296,940,416/852,118,486.40
  6. Step 6: Final answer
    x = 1,278,177,729.60

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1.5x scale

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.