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Finding the Fourth Proportional to 206,064,140.40, 289,255,071.60 and 206,064,140.40

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Solution

The fourth proportional to 206,064,140.40, 289,255,071.60 and 206,064,140.40 is: 289,255,071.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,064,140.40 : 289,255,071.60 = 206,064,140.40 : x
  2. Step 2: Convert to fraction form
    206,064,140.40/289,255,071.60 = 206,064,140.40/x
  3. Step 3: Cross multiply
    206,064,140.40x = 289,255,071.60 × 206,064,140.40
  4. Step 4: Simplify right side
    206,064,140.40x = 59,605,097,685,594,456
  5. Step 5: Solve for x
    x = 59,605,097,685,594,456/206,064,140.40
  6. Step 6: Final answer
    x = 289,255,071.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.