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Finding the Fourth Proportional to 604,368,530.40, 906,552,795.60 and 472,854,597.60

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Solution

The fourth proportional to 604,368,530.40, 906,552,795.60 and 472,854,597.60 is: 709,281,896.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,368,530.40 : 906,552,795.60 = 472,854,597.60 : x
  2. Step 2: Convert to fraction form
    604,368,530.40/906,552,795.60 = 472,854,597.60/x
  3. Step 3: Cross multiply
    604,368,530.40x = 906,552,795.60 × 472,854,597.60
  4. Step 4: Simplify right side
    604,368,530.40x = 428,667,657,366,593,088
  5. Step 5: Solve for x
    x = 428,667,657,366,593,088/604,368,530.40
  6. Step 6: Final answer
    x = 709,281,896.40

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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.