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Finding the Fourth Proportional to 3,020,696,064,047, 4,531,044,096,071 and 3,020,696,064,047

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Solution

The fourth proportional to 3,020,696,064,047, 4,531,044,096,071 and 3,020,696,064,047 is: 4,531,044,096,071

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020,696,064,047 : 4,531,044,096,071 = 3,020,696,064,047 : x
  2. Step 2: Convert to fraction form
    3,020,696,064,047/4,531,044,096,071 = 3,020,696,064,047/x
  3. Step 3: Cross multiply
    3,020,696,064,047x = 4,531,044,096,071 × 3,020,696,064,047
  4. Step 4: Simplify right side
    3,020,696,064,047x = 13,686,907,067,025,065,747,939,328
  5. Step 5: Solve for x
    x = 13,686,907,067,025,065,747,939,328/3,020,696,064,047
  6. Step 6: Final answer
    x = 4,531,044,096,071

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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.