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Finding the Fourth Proportional to 128,718,072,783.60, 193,077,109,175.40 and 128,718,072,783.60

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Solution

The fourth proportional to 128,718,072,783.60, 193,077,109,175.40 and 128,718,072,783.60 is: 193,077,109,175.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,718,072,783.60 : 193,077,109,175.40 = 128,718,072,783.60 : x
  2. Step 2: Convert to fraction form
    128,718,072,783.60/193,077,109,175.40 = 128,718,072,783.60/x
  3. Step 3: Cross multiply
    128,718,072,783.60x = 193,077,109,175.40 × 128,718,072,783.60
  4. Step 4: Simplify right side
    128,718,072,783.60x = 24,852,513,391,686,222,610,432
  5. Step 5: Solve for x
    x = 24,852,513,391,686,222,610,432/128,718,072,783.60
  6. Step 6: Final answer
    x = 193,077,109,175.40

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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.