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Finding the Fourth Proportional to 3,170,697,264,010.40, 4,756,045,896,015.40 and 3,170,697,264,010.40

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Solution

The fourth proportional to 3,170,697,264,010.40, 4,756,045,896,015.40 and 3,170,697,264,010.40 is: 4,756,045,896,015.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170,697,264,010.40 : 4,756,045,896,015.40 = 3,170,697,264,010.40 : x
  2. Step 2: Convert to fraction form
    3,170,697,264,010.40/4,756,045,896,015.40 = 3,170,697,264,010.40/x
  3. Step 3: Cross multiply
    3,170,697,264,010.40x = 4,756,045,896,015.40 × 3,170,697,264,010.40
  4. Step 4: Simplify right side
    3,170,697,264,010.40x = 15,079,981,710,003,920,984,604,672
  5. Step 5: Solve for x
    x = 15,079,981,710,003,920,984,604,672/3,170,697,264,010.40
  6. Step 6: Final answer
    x = 4,756,045,896,015.40

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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.