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Finding the Fourth Proportional to 490,068,751.60, 686,606,435.60 and 490,068,751.60

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Solution

The fourth proportional to 490,068,751.60, 686,606,435.60 and 490,068,751.60 is: 686,606,435.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,068,751.60 : 686,606,435.60 = 490,068,751.60 : x
  2. Step 2: Convert to fraction form
    490,068,751.60/686,606,435.60 = 490,068,751.60/x
  3. Step 3: Cross multiply
    490,068,751.60x = 686,606,435.60 × 490,068,751.60
  4. Step 4: Simplify right side
    490,068,751.60x = 336,484,358,735,017,856
  5. Step 5: Solve for x
    x = 336,484,358,735,017,856/490,068,751.60
  6. Step 6: Final answer
    x = 686,606,435.60

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