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Finding the Fourth Proportional to 152,907,938.40, 229,361,907.60 and 152,907,938.40

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Solution

The fourth proportional to 152,907,938.40, 229,361,907.60 and 152,907,938.40 is: 229,361,907.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,907,938.40 : 229,361,907.60 = 152,907,938.40 : x
  2. Step 2: Convert to fraction form
    152,907,938.40/229,361,907.60 = 152,907,938.40/x
  3. Step 3: Cross multiply
    152,907,938.40x = 229,361,907.60 × 152,907,938.40
  4. Step 4: Simplify right side
    152,907,938.40x = 35,071,256,438,607,292
  5. Step 5: Solve for x
    x = 35,071,256,438,607,292/152,907,938.40
  6. Step 6: Final answer
    x = 229,361,907.60

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Why These Related Problems?

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