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Finding the Fourth Proportional to 292,159,746,145.20, 437,542,262,337.60 and 292,159,746,145.20

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Solution

The fourth proportional to 292,159,746,145.20, 437,542,262,337.60 and 292,159,746,145.20 is: 437,542,262,337.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,159,746,145.20 : 437,542,262,337.60 = 292,159,746,145.20 : x
  2. Step 2: Convert to fraction form
    292,159,746,145.20/437,542,262,337.60 = 292,159,746,145.20/x
  3. Step 3: Cross multiply
    292,159,746,145.20x = 437,542,262,337.60 × 292,159,746,145.20
  4. Step 4: Simplify right side
    292,159,746,145.20x = 127,832,236,292,349,710,303,232
  5. Step 5: Solve for x
    x = 127,832,236,292,349,710,303,232/292,159,746,145.20
  6. Step 6: Final answer
    x = 437,542,262,337.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.