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Finding the Fourth Proportional to 968,803,343.40, 1,453,205,015.10 and 968,803,343.40

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Solution

The fourth proportional to 968,803,343.40, 1,453,205,015.10 and 968,803,343.40 is: 1,453,205,015.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,803,343.40 : 1,453,205,015.10 = 968,803,343.40 : x
  2. Step 2: Convert to fraction form
    968,803,343.40/1,453,205,015.10 = 968,803,343.40/x
  3. Step 3: Cross multiply
    968,803,343.40x = 1,453,205,015.10 × 968,803,343.40
  4. Step 4: Simplify right side
    968,803,343.40x = 1,407,869,877,274,527,232
  5. Step 5: Solve for x
    x = 1,407,869,877,274,527,232/968,803,343.40
  6. Step 6: Final answer
    x = 1,453,205,015.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.