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Finding the Fourth Proportional to 209,742,335,999.60, 314,613,503,999.40 and 209,742,335,999.60

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Solution

The fourth proportional to 209,742,335,999.60, 314,613,503,999.40 and 209,742,335,999.60 is: 314,613,503,999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,742,335,999.60 : 314,613,503,999.40 = 209,742,335,999.60 : x
  2. Step 2: Convert to fraction form
    209,742,335,999.60/314,613,503,999.40 = 209,742,335,999.60/x
  3. Step 3: Cross multiply
    209,742,335,999.60x = 314,613,503,999.40 × 209,742,335,999.60
  4. Step 4: Simplify right side
    209,742,335,999.60x = 65,987,771,265,853,660,594,176
  5. Step 5: Solve for x
    x = 65,987,771,265,853,660,594,176/209,742,335,999.60
  6. Step 6: Final answer
    x = 314,613,503,999.40

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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.