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Finding the Fourth Proportional to 1,069,848,009.90, 1,494,726,113.70 and 1,069,848,009.90

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Solution

The fourth proportional to 1,069,848,009.90, 1,494,726,113.70 and 1,069,848,009.90 is: 1,494,726,113.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069,848,009.90 : 1,494,726,113.70 = 1,069,848,009.90 : x
  2. Step 2: Convert to fraction form
    1,069,848,009.90/1,494,726,113.70 = 1,069,848,009.90/x
  3. Step 3: Cross multiply
    1,069,848,009.90x = 1,494,726,113.70 × 1,069,848,009.90
  4. Step 4: Simplify right side
    1,069,848,009.90x = 1,599,129,758,087,506,176
  5. Step 5: Solve for x
    x = 1,599,129,758,087,506,176/1,069,848,009.90
  6. Step 6: Final answer
    x = 1,494,726,113.70

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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.