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Finding the Fourth Proportional to 906,594,485, 1,360,169,260.09 and 464,250,360.98

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Solution

The fourth proportional to 906,594,485, 1,360,169,260.09 and 464,250,360.98 is: 696,517,660.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,594,485 : 1,360,169,260.09 = 464,250,360.98 : x
  2. Step 2: Convert to fraction form
    906,594,485/1,360,169,260.09 = 464,250,360.98/x
  3. Step 3: Cross multiply
    906,594,485x = 1,360,169,260.09 × 464,250,360.98
  4. Step 4: Simplify right side
    906,594,485x = 631,459,069,990,681,984
  5. Step 5: Solve for x
    x = 631,459,069,990,681,984/906,594,485
  6. Step 6: Final answer
    x = 696,517,660.80

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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.