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Finding the Fourth Proportional to 5,585,917,302,002.40, 8,378,875,953,003.70 and 5,585,917,302,002.40

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Solution

The fourth proportional to 5,585,917,302,002.40, 8,378,875,953,003.70 and 5,585,917,302,002.40 is: 8,378,875,953,003.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,585,917,302,002.40 : 8,378,875,953,003.70 = 5,585,917,302,002.40 : x
  2. Step 2: Convert to fraction form
    5,585,917,302,002.40/8,378,875,953,003.70 = 5,585,917,302,002.40/x
  3. Step 3: Cross multiply
    5,585,917,302,002.40x = 8,378,875,953,003.70 × 5,585,917,302,002.40
  4. Step 4: Simplify right side
    5,585,917,302,002.40x = 46,803,708,157,215,219,801,653,248
  5. Step 5: Solve for x
    x = 46,803,708,157,215,219,801,653,248/5,585,917,302,002.40
  6. Step 6: Final answer
    x = 8,378,875,953,003.70

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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.