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Finding the Fourth Proportional to 100,908,450,117.10, 151,362,675,175.65 and 100,908,450,117.10

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Solution

The fourth proportional to 100,908,450,117.10, 151,362,675,175.65 and 100,908,450,117.10 is: 151,362,675,175.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,908,450,117.10 : 151,362,675,175.65 = 100,908,450,117.10 : x
  2. Step 2: Convert to fraction form
    100,908,450,117.10/151,362,675,175.65 = 100,908,450,117.10/x
  3. Step 3: Cross multiply
    100,908,450,117.10x = 151,362,675,175.65 × 100,908,450,117.10
  4. Step 4: Simplify right side
    100,908,450,117.10x = 15,273,772,957,552,888,250,368
  5. Step 5: Solve for x
    x = 15,273,772,957,552,888,250,368/100,908,450,117.10
  6. Step 6: Final answer
    x = 151,362,675,175.65

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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.