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Finding the Fourth Proportional to 895,912,704,810.80, 1,343,869,057,216.20 and 895,912,704,810.80

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Solution

The fourth proportional to 895,912,704,810.80, 1,343,869,057,216.20 and 895,912,704,810.80 is: 1,343,869,057,216.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    895,912,704,810.80 : 1,343,869,057,216.20 = 895,912,704,810.80 : x
  2. Step 2: Convert to fraction form
    895,912,704,810.80/1,343,869,057,216.20 = 895,912,704,810.80/x
  3. Step 3: Cross multiply
    895,912,704,810.80x = 1,343,869,057,216.20 × 895,912,704,810.80
  4. Step 4: Simplify right side
    895,912,704,810.80x = 1,203,989,361,962,105,505,316,864
  5. Step 5: Solve for x
    x = 1,203,989,361,962,105,505,316,864/895,912,704,810.80
  6. Step 6: Final answer
    x = 1,343,869,057,216.20

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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.