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Finding the Fourth Proportional to 1,014,876,015.90, 1,417,765,322.10 and 1,014,876,015.90

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Solution

The fourth proportional to 1,014,876,015.90, 1,417,765,322.10 and 1,014,876,015.90 is: 1,417,765,322.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014,876,015.90 : 1,417,765,322.10 = 1,014,876,015.90 : x
  2. Step 2: Convert to fraction form
    1,014,876,015.90/1,417,765,322.10 = 1,014,876,015.90/x
  3. Step 3: Cross multiply
    1,014,876,015.90x = 1,417,765,322.10 × 1,014,876,015.90
  4. Step 4: Simplify right side
    1,014,876,015.90x = 1,438,856,021,574,028,032
  5. Step 5: Solve for x
    x = 1,438,856,021,574,028,032/1,014,876,015.90
  6. Step 6: Final answer
    x = 1,417,765,322.10

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1.5x scale

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.