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Finding the Fourth Proportional to 4,595,431,320,278.40, 6,893,146,980,418.40 and 4,595,431,320,278.40

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Solution

The fourth proportional to 4,595,431,320,278.40, 6,893,146,980,418.40 and 4,595,431,320,278.40 is: 6,893,146,980,418.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,595,431,320,278.40 : 6,893,146,980,418.40 = 4,595,431,320,278.40 : x
  2. Step 2: Convert to fraction form
    4,595,431,320,278.40/6,893,146,980,418.40 = 4,595,431,320,278.40/x
  3. Step 3: Cross multiply
    4,595,431,320,278.40x = 6,893,146,980,418.40 × 4,595,431,320,278.40
  4. Step 4: Simplify right side
    4,595,431,320,278.40x = 31,676,983,529,097,196,776,456,192
  5. Step 5: Solve for x
    x = 31,676,983,529,097,196,776,456,192/4,595,431,320,278.40
  6. Step 6: Final answer
    x = 6,893,146,980,418.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.