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Finding the Fourth Proportional to 1,775,362,775.40, 2,490,949,841.40 and 1,775,362,775.40

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Solution

The fourth proportional to 1,775,362,775.40, 2,490,949,841.40 and 1,775,362,775.40 is: 2,490,949,841.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775,362,775.40 : 2,490,949,841.40 = 1,775,362,775.40 : x
  2. Step 2: Convert to fraction form
    1,775,362,775.40/2,490,949,841.40 = 1,775,362,775.40/x
  3. Step 3: Cross multiply
    1,775,362,775.40x = 2,490,949,841.40 × 1,775,362,775.40
  4. Step 4: Simplify right side
    1,775,362,775.40x = 4,422,339,623,810,094,080
  5. Step 5: Solve for x
    x = 4,422,339,623,810,094,080/1,775,362,775.40
  6. Step 6: Final answer
    x = 2,490,949,841.40

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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.