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Finding the Fourth Proportional to 907,848,256.09, 1,361,772,384.14 and 907,848,256.09

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Solution

The fourth proportional to 907,848,256.09, 1,361,772,384.14 and 907,848,256.09 is: 1,361,772,384.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,848,256.09 : 1,361,772,384.14 = 907,848,256.09 : x
  2. Step 2: Convert to fraction form
    907,848,256.09/1,361,772,384.14 = 907,848,256.09/x
  3. Step 3: Cross multiply
    907,848,256.09x = 1,361,772,384.14 × 907,848,256.09
  4. Step 4: Simplify right side
    907,848,256.09x = 1,236,282,684,128,481,280
  5. Step 5: Solve for x
    x = 1,236,282,684,128,481,280/907,848,256.09
  6. Step 6: Final answer
    x = 1,361,772,384.14

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1.5x scale

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.