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Finding the Fourth Proportional to 1,011,012,806.60, 1,417,328,959 and 1,011,012,806.60

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Solution

The fourth proportional to 1,011,012,806.60, 1,417,328,959 and 1,011,012,806.60 is: 1,417,328,959

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011,012,806.60 : 1,417,328,959 = 1,011,012,806.60 : x
  2. Step 2: Convert to fraction form
    1,011,012,806.60/1,417,328,959 = 1,011,012,806.60/x
  3. Step 3: Cross multiply
    1,011,012,806.60x = 1,417,328,959 × 1,011,012,806.60
  4. Step 4: Simplify right side
    1,011,012,806.60x = 1,432,937,728,714,046,464
  5. Step 5: Solve for x
    x = 1,432,937,728,714,046,464/1,011,012,806.60
  6. Step 6: Final answer
    x = 1,417,328,959

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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.