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Finding the Fourth Proportional to 9,470,254,230.30, 14,205,381,345.45 and 9,470,254,230.30

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Solution

The fourth proportional to 9,470,254,230.30, 14,205,381,345.45 and 9,470,254,230.30 is: 14,205,381,345.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470,254,230.30 : 14,205,381,345.45 = 9,470,254,230.30 : x
  2. Step 2: Convert to fraction form
    9,470,254,230.30/14,205,381,345.45 = 9,470,254,230.30/x
  3. Step 3: Cross multiply
    9,470,254,230.30x = 14,205,381,345.45 × 9,470,254,230.30
  4. Step 4: Simplify right side
    9,470,254,230.30x = 134,528,572,779,772,559,360
  5. Step 5: Solve for x
    x = 134,528,572,779,772,559,360/9,470,254,230.30
  6. Step 6: Final answer
    x = 14,205,381,345.45

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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.