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Finding the Fourth Proportional to 235,455,962,430.40, 353,183,943,645.60 and 235,455,962,430.40

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Solution

The fourth proportional to 235,455,962,430.40, 353,183,943,645.60 and 235,455,962,430.40 is: 353,183,943,645.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,455,962,430.40 : 353,183,943,645.60 = 235,455,962,430.40 : x
  2. Step 2: Convert to fraction form
    235,455,962,430.40/353,183,943,645.60 = 235,455,962,430.40/x
  3. Step 3: Cross multiply
    235,455,962,430.40x = 353,183,943,645.60 × 235,455,962,430.40
  4. Step 4: Simplify right side
    235,455,962,430.40x = 83,159,265,366,038,898,802,688
  5. Step 5: Solve for x
    x = 83,159,265,366,038,898,802,688/235,455,962,430.40
  6. Step 6: Final answer
    x = 353,183,943,645.60

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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.