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Finding the Fourth Proportional to 430,112,081.60, 645,168,122.40 and 430,112,081.60

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Solution

The fourth proportional to 430,112,081.60, 645,168,122.40 and 430,112,081.60 is: 645,168,122.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,112,081.60 : 645,168,122.40 = 430,112,081.60 : x
  2. Step 2: Convert to fraction form
    430,112,081.60/645,168,122.40 = 430,112,081.60/x
  3. Step 3: Cross multiply
    430,112,081.60x = 645,168,122.40 × 430,112,081.60
  4. Step 4: Simplify right side
    430,112,081.60x = 277,494,604,107,427,584
  5. Step 5: Solve for x
    x = 277,494,604,107,427,584/430,112,081.60
  6. Step 6: Final answer
    x = 645,168,122.40

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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.