Finding the Fourth Proportional to 540,016,109,073.92, 745,153,736,124.44 and 296,081,387,004.08
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Solution
The fourth proportional to 540,016,109,073.92, 745,153,736,124.44 and 296,081,387,004.08 is: 408,554,759,785.50
Step by Step Solution
- Step 1: Write the proportion equation
540,016,109,073.92 : 745,153,736,124.44 = 296,081,387,004.08 : x - Step 2: Convert to fraction form
540,016,109,073.92/745,153,736,124.44 = 296,081,387,004.08/x - Step 3: Cross multiply
540,016,109,073.92x = 745,153,736,124.44 × 296,081,387,004.08 - Step 4: Simplify right side
540,016,109,073.92x = 220,626,151,722,996,421,623,808 - Step 5: Solve for x
x = 220,626,151,722,996,421,623,808/540,016,109,073.92 - Step 6: Final answer
x = 408,554,759,785.50
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.