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Finding the Fourth Proportional to 102,863,358,368.01, 154,295,037,552.02 and 102,863,358,368.01

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Solution

The fourth proportional to 102,863,358,368.01, 154,295,037,552.02 and 102,863,358,368.01 is: 154,295,037,552.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,863,358,368.01 : 154,295,037,552.02 = 102,863,358,368.01 : x
  2. Step 2: Convert to fraction form
    102,863,358,368.01/154,295,037,552.02 = 102,863,358,368.01/x
  3. Step 3: Cross multiply
    102,863,358,368.01x = 154,295,037,552.02 × 102,863,358,368.01
  4. Step 4: Simplify right side
    102,863,358,368.01x = 15,871,305,742,118,991,953,920
  5. Step 5: Solve for x
    x = 15,871,305,742,118,991,953,920/102,863,358,368.01
  6. Step 6: Final answer
    x = 154,295,037,552.02

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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.