Finding the Fourth Proportional to 430,154,478,071.94, 593,614,058,842.70 and 237,466,916,043.06
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Solution
The fourth proportional to 430,154,478,071.94, 593,614,058,842.70 and 237,466,916,043.06 is: 327,704,829,448.75
Step by Step Solution
- Step 1: Write the proportion equation
430,154,478,071.94 : 593,614,058,842.70 = 237,466,916,043.06 : x - Step 2: Convert to fraction form
430,154,478,071.94/593,614,058,842.70 = 237,466,916,043.06/x - Step 3: Cross multiply
430,154,478,071.94x = 593,614,058,842.70 × 237,466,916,043.06 - Step 4: Simplify right side
430,154,478,071.94x = 140,963,699,873,179,506,835,456 - Step 5: Solve for x
x = 140,963,699,873,179,506,835,456/430,154,478,071.94 - Step 6: Final answer
x = 327,704,829,448.75
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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.