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Finding the Fourth Proportional to 768,012,291.60, 1,059,858,804.74 and 415,592,064

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Solution

The fourth proportional to 768,012,291.60, 1,059,858,804.74 and 415,592,064 is: 573,518,045.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,012,291.60 : 1,059,858,804.74 = 415,592,064 : x
  2. Step 2: Convert to fraction form
    768,012,291.60/1,059,858,804.74 = 415,592,064/x
  3. Step 3: Cross multiply
    768,012,291.60x = 1,059,858,804.74 × 415,592,064
  4. Step 4: Simplify right side
    768,012,291.60x = 440,468,908,208,391,616
  5. Step 5: Solve for x
    x = 440,468,908,208,391,616/768,012,291.60
  6. Step 6: Final answer
    x = 573,518,045.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.