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Finding the Fourth Proportional to 1,008,040,644,547.50, 1,512,060,966,821.40 and 1,008,040,644,547.50

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Solution

The fourth proportional to 1,008,040,644,547.50, 1,512,060,966,821.40 and 1,008,040,644,547.50 is: 1,512,060,966,821.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008,040,644,547.50 : 1,512,060,966,821.40 = 1,008,040,644,547.50 : x
  2. Step 2: Convert to fraction form
    1,008,040,644,547.50/1,512,060,966,821.40 = 1,008,040,644,547.50/x
  3. Step 3: Cross multiply
    1,008,040,644,547.50x = 1,512,060,966,821.40 × 1,008,040,644,547.50
  4. Step 4: Simplify right side
    1,008,040,644,547.50x = 1,524,218,911,589,760,044,630,016
  5. Step 5: Solve for x
    x = 1,524,218,911,589,760,044,630,016/1,008,040,644,547.50
  6. Step 6: Final answer
    x = 1,512,060,966,821.40

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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.