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Finding the Fourth Proportional to 78,232,457,680.80, 117,348,686,521.20 and 78,232,457,680.80

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Solution

The fourth proportional to 78,232,457,680.80, 117,348,686,521.20 and 78,232,457,680.80 is: 117,348,686,521.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,232,457,680.80 : 117,348,686,521.20 = 78,232,457,680.80 : x
  2. Step 2: Convert to fraction form
    78,232,457,680.80/117,348,686,521.20 = 78,232,457,680.80/x
  3. Step 3: Cross multiply
    78,232,457,680.80x = 117,348,686,521.20 × 78,232,457,680.80
  4. Step 4: Simplify right side
    78,232,457,680.80x = 9,180,476,152,167,244,234,752
  5. Step 5: Solve for x
    x = 9,180,476,152,167,244,234,752/78,232,457,680.80
  6. Step 6: Final answer
    x = 117,348,686,521.20

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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.