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Finding the Fourth Proportional to 1,435,168,875.60, 2,010,596,914.80 and 1,435,168,875.60

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Solution

The fourth proportional to 1,435,168,875.60, 2,010,596,914.80 and 1,435,168,875.60 is: 2,010,596,914.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435,168,875.60 : 2,010,596,914.80 = 1,435,168,875.60 : x
  2. Step 2: Convert to fraction form
    1,435,168,875.60/2,010,596,914.80 = 1,435,168,875.60/x
  3. Step 3: Cross multiply
    1,435,168,875.60x = 2,010,596,914.80 × 1,435,168,875.60
  4. Step 4: Simplify right side
    1,435,168,875.60x = 2,885,546,113,498,344,960
  5. Step 5: Solve for x
    x = 2,885,546,113,498,344,960/1,435,168,875.60
  6. Step 6: Final answer
    x = 2,010,596,914.80

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