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Finding the Fourth Proportional to 152,886,069.60, 214,645,159.20 and 152,886,069.60

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Solution

The fourth proportional to 152,886,069.60, 214,645,159.20 and 152,886,069.60 is: 214,645,159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,886,069.60 : 214,645,159.20 = 152,886,069.60 : x
  2. Step 2: Convert to fraction form
    152,886,069.60/214,645,159.20 = 152,886,069.60/x
  3. Step 3: Cross multiply
    152,886,069.60x = 214,645,159.20 × 152,886,069.60
  4. Step 4: Simplify right side
    152,886,069.60x = 32,816,254,748,754,276
  5. Step 5: Solve for x
    x = 32,816,254,748,754,276/152,886,069.60
  6. Step 6: Final answer
    x = 214,645,159.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.