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Finding the Fourth Proportional to 604,430,666.40, 906,645,999.60 and 472,916,733.60

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Solution

The fourth proportional to 604,430,666.40, 906,645,999.60 and 472,916,733.60 is: 709,375,100.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,430,666.40 : 906,645,999.60 = 472,916,733.60 : x
  2. Step 2: Convert to fraction form
    604,430,666.40/906,645,999.60 = 472,916,733.60/x
  3. Step 3: Cross multiply
    604,430,666.40x = 906,645,999.60 × 472,916,733.60
  4. Step 4: Simplify right side
    604,430,666.40x = 428,768,064,662,338,944
  5. Step 5: Solve for x
    x = 428,768,064,662,338,944/604,430,666.40
  6. Step 6: Final answer
    x = 709,375,100.40

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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.