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Finding the Fourth Proportional to 283,852,809.60, 425,779,214.40 and 283,852,809.60

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Solution

The fourth proportional to 283,852,809.60, 425,779,214.40 and 283,852,809.60 is: 425,779,214.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,852,809.60 : 425,779,214.40 = 283,852,809.60 : x
  2. Step 2: Convert to fraction form
    283,852,809.60/425,779,214.40 = 283,852,809.60/x
  3. Step 3: Cross multiply
    283,852,809.60x = 425,779,214.40 × 283,852,809.60
  4. Step 4: Simplify right side
    283,852,809.60x = 120,858,626,276,720,784
  5. Step 5: Solve for x
    x = 120,858,626,276,720,784/283,852,809.60
  6. Step 6: Final answer
    x = 425,779,214.40

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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.