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Finding the Fourth Proportional to 9,708,336,018.10, 14,562,504,027.15 and 9,708,336,018.10

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Solution

The fourth proportional to 9,708,336,018.10, 14,562,504,027.15 and 9,708,336,018.10 is: 14,562,504,027.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708,336,018.10 : 14,562,504,027.15 = 9,708,336,018.10 : x
  2. Step 2: Convert to fraction form
    9,708,336,018.10/14,562,504,027.15 = 9,708,336,018.10/x
  3. Step 3: Cross multiply
    9,708,336,018.10x = 14,562,504,027.15 × 9,708,336,018.10
  4. Step 4: Simplify right side
    9,708,336,018.10x = 141,377,682,360,506,646,528
  5. Step 5: Solve for x
    x = 141,377,682,360,506,646,528/9,708,336,018.10
  6. Step 6: Final answer
    x = 14,562,504,027.15

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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.