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Finding the Fourth Proportional to 906,876,603.20, 1,360,314,904.80 and 447,711,579.20

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Solution

The fourth proportional to 906,876,603.20, 1,360,314,904.80 and 447,711,579.20 is: 671,567,368.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,876,603.20 : 1,360,314,904.80 = 447,711,579.20 : x
  2. Step 2: Convert to fraction form
    906,876,603.20/1,360,314,904.80 = 447,711,579.20/x
  3. Step 3: Cross multiply
    906,876,603.20x = 1,360,314,904.80 × 447,711,579.20
  4. Step 4: Simplify right side
    906,876,603.20x = 609,028,734,237,305,600
  5. Step 5: Solve for x
    x = 609,028,734,237,305,600/906,876,603.20
  6. Step 6: Final answer
    x = 671,567,368.80

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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.