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Finding the Fourth Proportional to 9,309,852,340.40, 13,066,445,011.60 and 9,309,852,340.40

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Solution

The fourth proportional to 9,309,852,340.40, 13,066,445,011.60 and 9,309,852,340.40 is: 13,066,445,011.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309,852,340.40 : 13,066,445,011.60 = 9,309,852,340.40 : x
  2. Step 2: Convert to fraction form
    9,309,852,340.40/13,066,445,011.60 = 9,309,852,340.40/x
  3. Step 3: Cross multiply
    9,309,852,340.40x = 13,066,445,011.60 × 9,309,852,340.40
  4. Step 4: Simplify right side
    9,309,852,340.40x = 121,646,673,671,952,171,008
  5. Step 5: Solve for x
    x = 121,646,673,671,952,171,008/9,309,852,340.40
  6. Step 6: Final answer
    x = 13,066,445,011.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.