Finding the Fourth Proportional to 662,197,047,863.97, 993,295,570,681.62 and 159,119,436,007.14
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Solution
The fourth proportional to 662,197,047,863.97, 993,295,570,681.62 and 159,119,436,007.14 is: 238,679,153,742.95
Step by Step Solution
- Step 1: Write the proportion equation
662,197,047,863.97 : 993,295,570,681.62 = 159,119,436,007.14 : x - Step 2: Convert to fraction form
662,197,047,863.97/993,295,570,681.62 = 159,119,436,007.14/x - Step 3: Cross multiply
662,197,047,863.97x = 993,295,570,681.62 × 159,119,436,007.14 - Step 4: Simplify right side
662,197,047,863.97x = 158,052,630,995,249,659,904,000 - Step 5: Solve for x
x = 158,052,630,995,249,659,904,000/662,197,047,863.97 - Step 6: Final answer
x = 238,679,153,742.95
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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.