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Finding the Fourth Proportional to 490,068,741.60, 686,606,421.60 and 490,068,741.60

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Solution

The fourth proportional to 490,068,741.60, 686,606,421.60 and 490,068,741.60 is: 686,606,421.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,068,741.60 : 686,606,421.60 = 490,068,741.60 : x
  2. Step 2: Convert to fraction form
    490,068,741.60/686,606,421.60 = 490,068,741.60/x
  3. Step 3: Cross multiply
    490,068,741.60x = 686,606,421.60 × 490,068,741.60
  4. Step 4: Simplify right side
    490,068,741.60x = 336,484,345,007,991,104
  5. Step 5: Solve for x
    x = 336,484,345,007,991,104/490,068,741.60
  6. Step 6: Final answer
    x = 686,606,421.60

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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.