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Finding the Fourth Proportional to 118,112,258,084.80, 165,047,574,497.60 and 118,112,258,084.80

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Solution

The fourth proportional to 118,112,258,084.80, 165,047,574,497.60 and 118,112,258,084.80 is: 165,047,574,497.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,112,258,084.80 : 165,047,574,497.60 = 118,112,258,084.80 : x
  2. Step 2: Convert to fraction form
    118,112,258,084.80/165,047,574,497.60 = 118,112,258,084.80/x
  3. Step 3: Cross multiply
    118,112,258,084.80x = 165,047,574,497.60 × 118,112,258,084.80
  4. Step 4: Simplify right side
    118,112,258,084.80x = 19,494,141,715,330,789,015,552
  5. Step 5: Solve for x
    x = 19,494,141,715,330,789,015,552/118,112,258,084.80
  6. Step 6: Final answer
    x = 165,047,574,497.60

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.