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Finding the Fourth Proportional to 285,161,472,043.20, 427,742,208,064.80 and 285,161,472,043.20

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Solution

The fourth proportional to 285,161,472,043.20, 427,742,208,064.80 and 285,161,472,043.20 is: 427,742,208,064.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,161,472,043.20 : 427,742,208,064.80 = 285,161,472,043.20 : x
  2. Step 2: Convert to fraction form
    285,161,472,043.20/427,742,208,064.80 = 285,161,472,043.20/x
  3. Step 3: Cross multiply
    285,161,472,043.20x = 427,742,208,064.80 × 285,161,472,043.20
  4. Step 4: Simplify right side
    285,161,472,043.20x = 121,975,597,706,767,111,290,880
  5. Step 5: Solve for x
    x = 121,975,597,706,767,111,290,880/285,161,472,043.20
  6. Step 6: Final answer
    x = 427,742,208,064.80

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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.