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Finding the Fourth Proportional to 3,020,696,064,200.30, 4,531,044,096,300.30 and 3,020,696,064,200.30

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Solution

The fourth proportional to 3,020,696,064,200.30, 4,531,044,096,300.30 and 3,020,696,064,200.30 is: 4,531,044,096,300.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020,696,064,200.30 : 4,531,044,096,300.30 = 3,020,696,064,200.30 : x
  2. Step 2: Convert to fraction form
    3,020,696,064,200.30/4,531,044,096,300.30 = 3,020,696,064,200.30/x
  3. Step 3: Cross multiply
    3,020,696,064,200.30x = 4,531,044,096,300.30 × 3,020,696,064,200.30
  4. Step 4: Simplify right side
    3,020,696,064,200.30x = 13,686,907,068,412,320,857,194,496
  5. Step 5: Solve for x
    x = 13,686,907,068,412,320,857,194,496/3,020,696,064,200.30
  6. Step 6: Final answer
    x = 4,531,044,096,300.30

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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.