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Finding the Fourth Proportional to 100,116,051.60, 150,174,077.40 and 98,415,440.40

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Solution

The fourth proportional to 100,116,051.60, 150,174,077.40 and 98,415,440.40 is: 147,623,160.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,116,051.60 : 150,174,077.40 = 98,415,440.40 : x
  2. Step 2: Convert to fraction form
    100,116,051.60/150,174,077.40 = 98,415,440.40/x
  3. Step 3: Cross multiply
    100,116,051.60x = 150,174,077.40 × 98,415,440.40
  4. Step 4: Simplify right side
    100,116,051.60x = 14,779,447,963,984,688
  5. Step 5: Solve for x
    x = 14,779,447,963,984,688/100,116,051.60
  6. Step 6: Final answer
    x = 147,623,160.60

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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.