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Finding the Fourth Proportional to 978,901,578, 1,467,815,670 and 388,093,304.16

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Solution

The fourth proportional to 978,901,578, 1,467,815,670 and 388,093,304.16 is: 581,927,178.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,901,578 : 1,467,815,670 = 388,093,304.16 : x
  2. Step 2: Convert to fraction form
    978,901,578/1,467,815,670 = 388,093,304.16/x
  3. Step 3: Cross multiply
    978,901,578x = 1,467,815,670 × 388,093,304.16
  4. Step 4: Simplify right side
    978,901,578x = 569,649,433,268,124,224
  5. Step 5: Solve for x
    x = 569,649,433,268,124,224/978,901,578
  6. Step 6: Final answer
    x = 581,927,178.45

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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.