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Finding the Fourth Proportional to 768,048,625.50, 1,059,569,342.64 and 450,346,707.60

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Solution

The fourth proportional to 768,048,625.50, 1,059,569,342.64 and 450,346,707.60 is: 621,280,409.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,048,625.50 : 1,059,569,342.64 = 450,346,707.60 : x
  2. Step 2: Convert to fraction form
    768,048,625.50/1,059,569,342.64 = 450,346,707.60/x
  3. Step 3: Cross multiply
    768,048,625.50x = 1,059,569,342.64 × 450,346,707.60
  4. Step 4: Simplify right side
    768,048,625.50x = 477,173,564,931,820,288
  5. Step 5: Solve for x
    x = 477,173,564,931,820,288/768,048,625.50
  6. Step 6: Final answer
    x = 621,280,409.98

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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.