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Finding the Fourth Proportional to 653,509,802.20, 917,209,548.20 and 653,509,802.20

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Solution

The fourth proportional to 653,509,802.20, 917,209,548.20 and 653,509,802.20 is: 917,209,548.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,509,802.20 : 917,209,548.20 = 653,509,802.20 : x
  2. Step 2: Convert to fraction form
    653,509,802.20/917,209,548.20 = 653,509,802.20/x
  3. Step 3: Cross multiply
    653,509,802.20x = 917,209,548.20 × 653,509,802.20
  4. Step 4: Simplify right side
    653,509,802.20x = 599,405,430,420,133,504
  5. Step 5: Solve for x
    x = 599,405,430,420,133,504/653,509,802.20
  6. Step 6: Final answer
    x = 917,209,548.20

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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.