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Finding the Fourth Proportional to 181,595,736,465.40, 272,393,604,698.10 and 181,595,736,465.40

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Solution

The fourth proportional to 181,595,736,465.40, 272,393,604,698.10 and 181,595,736,465.40 is: 272,393,604,698.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,595,736,465.40 : 272,393,604,698.10 = 181,595,736,465.40 : x
  2. Step 2: Convert to fraction form
    181,595,736,465.40/272,393,604,698.10 = 181,595,736,465.40/x
  3. Step 3: Cross multiply
    181,595,736,465.40x = 272,393,604,698.10 × 181,595,736,465.40
  4. Step 4: Simplify right side
    181,595,736,465.40x = 49,465,517,253,616,507,813,888
  5. Step 5: Solve for x
    x = 49,465,517,253,616,507,813,888/181,595,736,465.40
  6. Step 6: Final answer
    x = 272,393,604,698.10

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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.