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Finding the Fourth Proportional to 202,990,746.24, 280,127,506.32 and 110,171,255.28

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Solution

The fourth proportional to 202,990,746.24, 280,127,506.32 and 110,171,255.28 is: 152,036,482.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,990,746.24 : 280,127,506.32 = 110,171,255.28 : x
  2. Step 2: Convert to fraction form
    202,990,746.24/280,127,506.32 = 110,171,255.28/x
  3. Step 3: Cross multiply
    202,990,746.24x = 280,127,506.32 × 110,171,255.28
  4. Step 4: Simplify right side
    202,990,746.24x = 30,861,999,009,730,532
  5. Step 5: Solve for x
    x = 30,861,999,009,730,532/202,990,746.24
  6. Step 6: Final answer
    x = 152,036,482.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.