Finding the Fourth Proportional to 772,142,092.30, 1,157,243,756.83 and 417,602,242
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Solution
The fourth proportional to 772,142,092.30, 1,157,243,756.83 and 417,602,242 is: 625,879,086.52
Step by Step Solution
- Step 1: Write the proportion equation
772,142,092.30 : 1,157,243,756.83 = 417,602,242 : x - Step 2: Convert to fraction form
772,142,092.30/1,157,243,756.83 = 417,602,242/x - Step 3: Cross multiply
772,142,092.30x = 1,157,243,756.83 × 417,602,242 - Step 4: Simplify right side
772,142,092.30x = 483,267,587,392,710,784 - Step 5: Solve for x
x = 483,267,587,392,710,784/772,142,092.30 - Step 6: Final answer
x = 625,879,086.52
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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.