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Finding the Fourth Proportional to 1,417,180,865.90, 2,125,771,298.85 and 1,417,180,865.90

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Solution

The fourth proportional to 1,417,180,865.90, 2,125,771,298.85 and 1,417,180,865.90 is: 2,125,771,298.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417,180,865.90 : 2,125,771,298.85 = 1,417,180,865.90 : x
  2. Step 2: Convert to fraction form
    1,417,180,865.90/2,125,771,298.85 = 1,417,180,865.90/x
  3. Step 3: Cross multiply
    1,417,180,865.90x = 2,125,771,298.85 × 1,417,180,865.90
  4. Step 4: Simplify right side
    1,417,180,865.90x = 3,012,602,410,009,610,752
  5. Step 5: Solve for x
    x = 3,012,602,410,009,610,752/1,417,180,865.90
  6. Step 6: Final answer
    x = 2,125,771,298.85

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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.