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Finding the Fourth Proportional to 314,347,696,005.60, 471,521,544,008.40 and 314,347,696,005.60

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Solution

The fourth proportional to 314,347,696,005.60, 471,521,544,008.40 and 314,347,696,005.60 is: 471,521,544,008.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,347,696,005.60 : 471,521,544,008.40 = 314,347,696,005.60 : x
  2. Step 2: Convert to fraction form
    314,347,696,005.60/471,521,544,008.40 = 314,347,696,005.60/x
  3. Step 3: Cross multiply
    314,347,696,005.60x = 471,521,544,008.40 × 314,347,696,005.60
  4. Step 4: Simplify right side
    314,347,696,005.60x = 148,221,710,976,043,660,083,200
  5. Step 5: Solve for x
    x = 148,221,710,976,043,660,083,200/314,347,696,005.60
  6. Step 6: Final answer
    x = 471,521,544,008.40

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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.