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Finding the Fourth Proportional to 157,173,841,806.30, 235,760,762,709.45 and 157,173,841,806.30

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Solution

The fourth proportional to 157,173,841,806.30, 235,760,762,709.45 and 157,173,841,806.30 is: 235,760,762,709.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,173,841,806.30 : 235,760,762,709.45 = 157,173,841,806.30 : x
  2. Step 2: Convert to fraction form
    157,173,841,806.30/235,760,762,709.45 = 157,173,841,806.30/x
  3. Step 3: Cross multiply
    157,173,841,806.30x = 235,760,762,709.45 × 157,173,841,806.30
  4. Step 4: Simplify right side
    157,173,841,806.30x = 37,055,424,822,227,727,548,416
  5. Step 5: Solve for x
    x = 37,055,424,822,227,727,548,416/157,173,841,806.30
  6. Step 6: Final answer
    x = 235,760,762,709.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.