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Finding the Fourth Proportional to 30,478,972,154.40, 45,718,458,231.60 and 30,478,972,154.40

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Solution

The fourth proportional to 30,478,972,154.40, 45,718,458,231.60 and 30,478,972,154.40 is: 45,718,458,231.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,478,972,154.40 : 45,718,458,231.60 = 30,478,972,154.40 : x
  2. Step 2: Convert to fraction form
    30,478,972,154.40/45,718,458,231.60 = 30,478,972,154.40/x
  3. Step 3: Cross multiply
    30,478,972,154.40x = 45,718,458,231.60 × 30,478,972,154.40
  4. Step 4: Simplify right side
    30,478,972,154.40x = 1,393,451,615,383,035,838,464
  5. Step 5: Solve for x
    x = 1,393,451,615,383,035,838,464/30,478,972,154.40
  6. Step 6: Final answer
    x = 45,718,458,231.60

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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.