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Finding the Fourth Proportional to 873,505,398,210.40, 1,310,258,097,315.60 and 873,505,398,210.40

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Solution

The fourth proportional to 873,505,398,210.40, 1,310,258,097,315.60 and 873,505,398,210.40 is: 1,310,258,097,315.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,505,398,210.40 : 1,310,258,097,315.60 = 873,505,398,210.40 : x
  2. Step 2: Convert to fraction form
    873,505,398,210.40/1,310,258,097,315.60 = 873,505,398,210.40/x
  3. Step 3: Cross multiply
    873,505,398,210.40x = 1,310,258,097,315.60 × 873,505,398,210.40
  4. Step 4: Simplify right side
    873,505,398,210.40x = 1,144,517,521,054,064,378,380,288
  5. Step 5: Solve for x
    x = 1,144,517,521,054,064,378,380,288/873,505,398,210.40
  6. Step 6: Final answer
    x = 1,310,258,097,315.60

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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.