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Finding the Fourth Proportional to 445,637,594,359.80, 668,456,391,539.70 and 445,637,594,359.80

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Solution

The fourth proportional to 445,637,594,359.80, 668,456,391,539.70 and 445,637,594,359.80 is: 668,456,391,539.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,637,594,359.80 : 668,456,391,539.70 = 445,637,594,359.80 : x
  2. Step 2: Convert to fraction form
    445,637,594,359.80/668,456,391,539.70 = 445,637,594,359.80/x
  3. Step 3: Cross multiply
    445,637,594,359.80x = 668,456,391,539.70 × 445,637,594,359.80
  4. Step 4: Simplify right side
    445,637,594,359.80x = 297,889,298,260,184,438,669,312
  5. Step 5: Solve for x
    x = 297,889,298,260,184,438,669,312/445,637,594,359.80
  6. Step 6: Final answer
    x = 668,456,391,539.70

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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.