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Finding the Fourth Proportional to 438,426,437,449.80, 612,474,617,160.60 and 438,426,437,449.80

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Solution

The fourth proportional to 438,426,437,449.80, 612,474,617,160.60 and 438,426,437,449.80 is: 612,474,617,160.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,426,437,449.80 : 612,474,617,160.60 = 438,426,437,449.80 : x
  2. Step 2: Convert to fraction form
    438,426,437,449.80/612,474,617,160.60 = 438,426,437,449.80/x
  3. Step 3: Cross multiply
    438,426,437,449.80x = 612,474,617,160.60 × 438,426,437,449.80
  4. Step 4: Simplify right side
    438,426,437,449.80x = 268,525,064,430,151,993,917,440
  5. Step 5: Solve for x
    x = 268,525,064,430,151,993,917,440/438,426,437,449.80
  6. Step 6: Final answer
    x = 612,474,617,160.60

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.