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Finding the Fourth Proportional to 103,457,047,143.60, 155,185,570,715.40 and 103,457,047,143.60

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Solution

The fourth proportional to 103,457,047,143.60, 155,185,570,715.40 and 103,457,047,143.60 is: 155,185,570,715.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,457,047,143.60 : 155,185,570,715.40 = 103,457,047,143.60 : x
  2. Step 2: Convert to fraction form
    103,457,047,143.60/155,185,570,715.40 = 103,457,047,143.60/x
  3. Step 3: Cross multiply
    103,457,047,143.60x = 155,185,570,715.40 × 103,457,047,143.60
  4. Step 4: Simplify right side
    103,457,047,143.60x = 16,055,040,905,509,609,668,608
  5. Step 5: Solve for x
    x = 16,055,040,905,509,609,668,608/103,457,047,143.60
  6. Step 6: Final answer
    x = 155,185,570,715.40

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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.