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Finding the Fourth Proportional to 215,410,769,884.95, 323,116,154,827.43 and 215,410,769,884.95

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Solution

The fourth proportional to 215,410,769,884.95, 323,116,154,827.43 and 215,410,769,884.95 is: 323,116,154,827.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,410,769,884.95 : 323,116,154,827.43 = 215,410,769,884.95 : x
  2. Step 2: Convert to fraction form
    215,410,769,884.95/323,116,154,827.43 = 215,410,769,884.95/x
  3. Step 3: Cross multiply
    215,410,769,884.95x = 323,116,154,827.43 × 215,410,769,884.95
  4. Step 4: Simplify right side
    215,410,769,884.95x = 69,602,699,673,641,406,169,088
  5. Step 5: Solve for x
    x = 69,602,699,673,641,406,169,088/215,410,769,884.95
  6. Step 6: Final answer
    x = 323,116,154,827.43

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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.