Finding the Fourth Proportional to 1,727,285,697,727.50, 2,383,729,191,271.80 and 956,534,389,430.14
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Solution
The fourth proportional to 1,727,285,697,727.50, 2,383,729,191,271.80 and 956,534,389,430.14 is: 1,320,058,951,185.55
Step by Step Solution
- Step 1: Write the proportion equation
1,727,285,697,727.50 : 2,383,729,191,271.80 = 956,534,389,430.14 : x - Step 2: Convert to fraction form
1,727,285,697,727.50/2,383,729,191,271.80 = 956,534,389,430.14/x - Step 3: Cross multiply
1,727,285,697,727.50x = 2,383,729,191,271.80 × 956,534,389,430.14 - Step 4: Simplify right side
1,727,285,697,727.50x = 2,280,118,946,539,972,438,523,904 - Step 5: Solve for x
x = 2,280,118,946,539,972,438,523,904/1,727,285,697,727.50 - Step 6: Final answer
x = 1,320,058,951,185.55
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.