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Finding the Fourth Proportional to 580,626,853.60, 869,745,886.80 and 293,574,258.40

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Solution

The fourth proportional to 580,626,853.60, 869,745,886.80 and 293,574,258.40 is: 439,757,483.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,626,853.60 : 869,745,886.80 = 293,574,258.40 : x
  2. Step 2: Convert to fraction form
    580,626,853.60/869,745,886.80 = 293,574,258.40/x
  3. Step 3: Cross multiply
    580,626,853.60x = 869,745,886.80 × 293,574,258.40
  4. Step 4: Simplify right side
    580,626,853.60x = 255,335,003,713,760,320
  5. Step 5: Solve for x
    x = 255,335,003,713,760,320/580,626,853.60
  6. Step 6: Final answer
    x = 439,757,483.02

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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.