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Finding the Fourth Proportional to 580,626,809.60, 869,745,820.80 and 293,574,214.40

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Solution

The fourth proportional to 580,626,809.60, 869,745,820.80 and 293,574,214.40 is: 439,757,417.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,626,809.60 : 869,745,820.80 = 293,574,214.40 : x
  2. Step 2: Convert to fraction form
    580,626,809.60/869,745,820.80 = 293,574,214.40/x
  3. Step 3: Cross multiply
    580,626,809.60x = 869,745,820.80 × 293,574,214.40
  4. Step 4: Simplify right side
    580,626,809.60x = 255,334,946,069,043,136
  5. Step 5: Solve for x
    x = 255,334,946,069,043,136/580,626,809.60
  6. Step 6: Final answer
    x = 439,757,417.07

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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.