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Finding the Fourth Proportional to 647,007,225.60, 907,422,547.20 and 647,007,225.60

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Solution

The fourth proportional to 647,007,225.60, 907,422,547.20 and 647,007,225.60 is: 907,422,547.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,007,225.60 : 907,422,547.20 = 647,007,225.60 : x
  2. Step 2: Convert to fraction form
    647,007,225.60/907,422,547.20 = 647,007,225.60/x
  3. Step 3: Cross multiply
    647,007,225.60x = 907,422,547.20 × 647,007,225.60
  4. Step 4: Simplify right side
    647,007,225.60x = 587,108,944,710,757,120
  5. Step 5: Solve for x
    x = 587,108,944,710,757,120/647,007,225.60
  6. Step 6: Final answer
    x = 907,422,547.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.