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Finding the Fourth Proportional to 173,848,562,235.10, 260,772,843,352.65 and 173,848,562,235.10

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Solution

The fourth proportional to 173,848,562,235.10, 260,772,843,352.65 and 173,848,562,235.10 is: 260,772,843,352.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,848,562,235.10 : 260,772,843,352.65 = 173,848,562,235.10 : x
  2. Step 2: Convert to fraction form
    173,848,562,235.10/260,772,843,352.65 = 173,848,562,235.10/x
  3. Step 3: Cross multiply
    173,848,562,235.10x = 260,772,843,352.65 × 173,848,562,235.10
  4. Step 4: Simplify right side
    173,848,562,235.10x = 45,334,983,886,817,158,234,112
  5. Step 5: Solve for x
    x = 45,334,983,886,817,158,234,112/173,848,562,235.10
  6. Step 6: Final answer
    x = 260,772,843,352.65

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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.