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Finding the Fourth Proportional to 517,362,446.10, 776,043,669.15 and 517,362,446.10

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Solution

The fourth proportional to 517,362,446.10, 776,043,669.15 and 517,362,446.10 is: 776,043,669.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,362,446.10 : 776,043,669.15 = 517,362,446.10 : x
  2. Step 2: Convert to fraction form
    517,362,446.10/776,043,669.15 = 517,362,446.10/x
  3. Step 3: Cross multiply
    517,362,446.10x = 776,043,669.15 × 517,362,446.10
  4. Step 4: Simplify right side
    517,362,446.10x = 401,495,850,951,863,104
  5. Step 5: Solve for x
    x = 401,495,850,951,863,104/517,362,446.10
  6. Step 6: Final answer
    x = 776,043,669.15

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Double scale
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Similar ratio
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1.5x scale

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.