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Finding the Fourth Proportional to 108,972,090,912.45, 163,458,136,368.67 and 108,972,090,912.45

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Solution

The fourth proportional to 108,972,090,912.45, 163,458,136,368.67 and 108,972,090,912.45 is: 163,458,136,368.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,972,090,912.45 : 163,458,136,368.67 = 108,972,090,912.45 : x
  2. Step 2: Convert to fraction form
    108,972,090,912.45/163,458,136,368.67 = 108,972,090,912.45/x
  3. Step 3: Cross multiply
    108,972,090,912.45x = 163,458,136,368.67 × 108,972,090,912.45
  4. Step 4: Simplify right side
    108,972,090,912.45x = 17,812,374,896,746,357,063,680
  5. Step 5: Solve for x
    x = 17,812,374,896,746,357,063,680/108,972,090,912.45
  6. Step 6: Final answer
    x = 163,458,136,368.67

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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.