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Finding the Fourth Proportional to 506,448,273.60, 710,640,014.40 and 506,448,273.60

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Solution

The fourth proportional to 506,448,273.60, 710,640,014.40 and 506,448,273.60 is: 710,640,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,448,273.60 : 710,640,014.40 = 506,448,273.60 : x
  2. Step 2: Convert to fraction form
    506,448,273.60/710,640,014.40 = 506,448,273.60/x
  3. Step 3: Cross multiply
    506,448,273.60x = 710,640,014.40 × 506,448,273.60
  4. Step 4: Simplify right side
    506,448,273.60x = 359,902,408,443,959,168
  5. Step 5: Solve for x
    x = 359,902,408,443,959,168/506,448,273.60
  6. Step 6: Final answer
    x = 710,640,014.40

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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.