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Finding the Fourth Proportional to 907,693,533, 1,360,360,998.70 and 409,338,056.79

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Solution

The fourth proportional to 907,693,533, 1,360,360,998.70 and 409,338,056.79 is: 613,475,261.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,693,533 : 1,360,360,998.70 = 409,338,056.79 : x
  2. Step 2: Convert to fraction form
    907,693,533/1,360,360,998.70 = 409,338,056.79/x
  3. Step 3: Cross multiply
    907,693,533x = 1,360,360,998.70 × 409,338,056.79
  4. Step 4: Simplify right side
    907,693,533x = 556,847,527,739,738,368
  5. Step 5: Solve for x
    x = 556,847,527,739,738,368/907,693,533
  6. Step 6: Final answer
    x = 613,475,261.74

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