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Finding the Fourth Proportional to 97,804,978.40, 146,707,467.60 and 46,786,642.40

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Solution

The fourth proportional to 97,804,978.40, 146,707,467.60 and 46,786,642.40 is: 70,179,963.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,804,978.40 : 146,707,467.60 = 46,786,642.40 : x
  2. Step 2: Convert to fraction form
    97,804,978.40/146,707,467.60 = 46,786,642.40/x
  3. Step 3: Cross multiply
    97,804,978.40x = 146,707,467.60 × 46,786,642.40
  4. Step 4: Simplify right side
    97,804,978.40x = 6,863,949,824,010,786
  5. Step 5: Solve for x
    x = 6,863,949,824,010,786/97,804,978.40
  6. Step 6: Final answer
    x = 70,179,963.60

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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.