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Finding the Fourth Proportional to 523,316,563.60, 784,124,539.80 and 436,585,392.40

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Solution

The fourth proportional to 523,316,563.60, 784,124,539.80 and 436,585,392.40 is: 654,168,707.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,316,563.60 : 784,124,539.80 = 436,585,392.40 : x
  2. Step 2: Convert to fraction form
    523,316,563.60/784,124,539.80 = 436,585,392.40/x
  3. Step 3: Cross multiply
    523,316,563.60x = 784,124,539.80 × 436,585,392.40
  4. Step 4: Simplify right side
    523,316,563.60x = 342,337,319,899,052,352
  5. Step 5: Solve for x
    x = 342,337,319,899,052,352/523,316,563.60
  6. Step 6: Final answer
    x = 654,168,707.26

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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.