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Finding the Fourth Proportional to 712,379,920,208.80, 1,068,569,880,313.20 and 712,379,920,208.80

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Solution

The fourth proportional to 712,379,920,208.80, 1,068,569,880,313.20 and 712,379,920,208.80 is: 1,068,569,880,313.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,379,920,208.80 : 1,068,569,880,313.20 = 712,379,920,208.80 : x
  2. Step 2: Convert to fraction form
    712,379,920,208.80/1,068,569,880,313.20 = 712,379,920,208.80/x
  3. Step 3: Cross multiply
    712,379,920,208.80x = 1,068,569,880,313.20 × 712,379,920,208.80
  4. Step 4: Simplify right side
    712,379,920,208.80x = 761,227,726,075,044,449,746,944
  5. Step 5: Solve for x
    x = 761,227,726,075,044,449,746,944/712,379,920,208.80
  6. Step 6: Final answer
    x = 1,068,569,880,313.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.