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Finding the Fourth Proportional to 307,165,713.60, 460,748,570.40 and 307,165,713.60

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Solution

The fourth proportional to 307,165,713.60, 460,748,570.40 and 307,165,713.60 is: 460,748,570.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,165,713.60 : 460,748,570.40 = 307,165,713.60 : x
  2. Step 2: Convert to fraction form
    307,165,713.60/460,748,570.40 = 307,165,713.60/x
  3. Step 3: Cross multiply
    307,165,713.60x = 460,748,570.40 × 307,165,713.60
  4. Step 4: Simplify right side
    307,165,713.60x = 141,526,163,417,095,840
  5. Step 5: Solve for x
    x = 141,526,163,417,095,840/307,165,713.60
  6. Step 6: Final answer
    x = 460,748,570.40

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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.