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Finding the Fourth Proportional to 902,806,671.30, 1,354,210,006.95 and 902,806,671.30

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Solution

The fourth proportional to 902,806,671.30, 1,354,210,006.95 and 902,806,671.30 is: 1,354,210,006.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,806,671.30 : 1,354,210,006.95 = 902,806,671.30 : x
  2. Step 2: Convert to fraction form
    902,806,671.30/1,354,210,006.95 = 902,806,671.30/x
  3. Step 3: Cross multiply
    902,806,671.30x = 1,354,210,006.95 × 902,806,671.30
  4. Step 4: Simplify right side
    902,806,671.30x = 1,222,589,828,615,679,232
  5. Step 5: Solve for x
    x = 1,222,589,828,615,679,232/902,806,671.30
  6. Step 6: Final answer
    x = 1,354,210,006.95

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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.