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Finding the Fourth Proportional to 537,842,356.45, 742,223,989.16 and 311,825,264.07

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Solution

The fourth proportional to 537,842,356.45, 742,223,989.16 and 311,825,264.07 is: 430,319,755.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,842,356.45 : 742,223,989.16 = 311,825,264.07 : x
  2. Step 2: Convert to fraction form
    537,842,356.45/742,223,989.16 = 311,825,264.07/x
  3. Step 3: Cross multiply
    537,842,356.45x = 742,223,989.16 × 311,825,264.07
  4. Step 4: Simplify right side
    537,842,356.45x = 231,444,191,418,905,792
  5. Step 5: Solve for x
    x = 231,444,191,418,905,792/537,842,356.45
  6. Step 6: Final answer
    x = 430,319,755.67

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