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Finding the Fourth Proportional to 34,676,525,345.60, 52,014,788,018.40 and 34,676,525,345.60

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Solution

The fourth proportional to 34,676,525,345.60, 52,014,788,018.40 and 34,676,525,345.60 is: 52,014,788,018.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,676,525,345.60 : 52,014,788,018.40 = 34,676,525,345.60 : x
  2. Step 2: Convert to fraction form
    34,676,525,345.60/52,014,788,018.40 = 34,676,525,345.60/x
  3. Step 3: Cross multiply
    34,676,525,345.60x = 52,014,788,018.40 × 34,676,525,345.60
  4. Step 4: Simplify right side
    34,676,525,345.60x = 1,803,692,115,066,058,702,848
  5. Step 5: Solve for x
    x = 1,803,692,115,066,058,702,848/34,676,525,345.60
  6. Step 6: Final answer
    x = 52,014,788,018.40

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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.