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Finding the Fourth Proportional to 1,771,466,903.70, 2,657,200,355.55 and 1,771,466,903.70

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Solution

The fourth proportional to 1,771,466,903.70, 2,657,200,355.55 and 1,771,466,903.70 is: 2,657,200,355.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771,466,903.70 : 2,657,200,355.55 = 1,771,466,903.70 : x
  2. Step 2: Convert to fraction form
    1,771,466,903.70/2,657,200,355.55 = 1,771,466,903.70/x
  3. Step 3: Cross multiply
    1,771,466,903.70x = 2,657,200,355.55 × 1,771,466,903.70
  4. Step 4: Simplify right side
    1,771,466,903.70x = 4,707,142,486,356,698,112
  5. Step 5: Solve for x
    x = 4,707,142,486,356,698,112/1,771,466,903.70
  6. Step 6: Final answer
    x = 2,657,200,355.55

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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.