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Finding the Fourth Proportional to 601,312,301.50, 829,796,862.63 and 353,809,686.46

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Solution

The fourth proportional to 601,312,301.50, 829,796,862.63 and 353,809,686.46 is: 488,249,063.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,312,301.50 : 829,796,862.63 = 353,809,686.46 : x
  2. Step 2: Convert to fraction form
    601,312,301.50/829,796,862.63 = 353,809,686.46/x
  3. Step 3: Cross multiply
    601,312,301.50x = 829,796,862.63 × 353,809,686.46
  4. Step 4: Simplify right side
    601,312,301.50x = 293,590,167,792,611,968
  5. Step 5: Solve for x
    x = 293,590,167,792,611,968/601,312,301.50
  6. Step 6: Final answer
    x = 488,249,063.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.