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Finding the Fourth Proportional to 120,672,868,802.40, 181,009,303,203.60 and 120,672,868,802.40

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Solution

The fourth proportional to 120,672,868,802.40, 181,009,303,203.60 and 120,672,868,802.40 is: 181,009,303,203.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,672,868,802.40 : 181,009,303,203.60 = 120,672,868,802.40 : x
  2. Step 2: Convert to fraction form
    120,672,868,802.40/181,009,303,203.60 = 120,672,868,802.40/x
  3. Step 3: Cross multiply
    120,672,868,802.40x = 181,009,303,203.60 × 120,672,868,802.40
  4. Step 4: Simplify right side
    120,672,868,802.40x = 21,842,911,897,501,864,820,736
  5. Step 5: Solve for x
    x = 21,842,911,897,501,864,820,736/120,672,868,802.40
  6. Step 6: Final answer
    x = 181,009,303,203.60

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1.5x scale

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.