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Finding the Fourth Proportional to 514,707,381.60, 710,292,856.32 and 294,733,322.88

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Solution

The fourth proportional to 514,707,381.60, 710,292,856.32 and 294,733,322.88 is: 406,730,078.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,707,381.60 : 710,292,856.32 = 294,733,322.88 : x
  2. Step 2: Convert to fraction form
    514,707,381.60/710,292,856.32 = 294,733,322.88/x
  3. Step 3: Cross multiply
    514,707,381.60x = 710,292,856.32 × 294,733,322.88
  4. Step 4: Simplify right side
    514,707,381.60x = 209,346,973,761,120,032
  5. Step 5: Solve for x
    x = 209,346,973,761,120,032/514,707,381.60
  6. Step 6: Final answer
    x = 406,730,078.57

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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.